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3D Geometry Practice Retake

Total questions: 65

Worksheet time: 59mins

Name
Class
Date
1.

A shipping box has the dimensions shown. What is the volume of the box? (Answer with numbers only.)
(a)   in3

2.

A shipping box has the dimensions shown. What is the volume of the box? (Answer with numbers only.)
(a)   in3

3.

A shipping box has the dimensions shown. What is the volume of the box? (Answer with numbers only.)
(a)   in3

4.

A shipping box has the dimensions shown. What is the volume of the box? (Answer with numbers only.)
(a)   in3

5.

A shipping box has the dimensions shown. What is the volume of the box? (Answer with numbers only.)
(a)   in3

6.

A shoe box has the dimensions shown. What is the surface area of the box?

(a)   in2

7.

A shoe box has the dimensions shown. What is the surface area of the box?

(a)   in2

8.

A shoe box has the dimensions shown. What is the surface area of the box?

(a)   in2

9.

A shoe box has the dimensions shown. What is the surface area of the box?

(a)   in2

10.

A shoe box has the dimensions shown. What is the surface area of the box?

(a)   in2

11.

Troy is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 26 inches long, 26 inches wide, and 26 inches tall. He plans to cover the box with one coat of paint. Find the surface area of the box.
(a)   in2

12.

Azaria is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 27 inches long, 27 inches wide, and 27 inches tall. She plans to cover the box with one coat of paint. Find the surface area of the box.
(a)   in2

13.

Nigel is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 28 inches long, 28 inches wide, and 28 inches tall. He plans to cover the box with one coat of paint. Find the surface area of the box.
(a)   in2

14.

Isaiah is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 36 inches long, 36 inches wide, and 36 inches tall. He plans to cover the box with one coat of paint. Find the surface area of the box.
(a)   in2

15.

Annabella is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 33 inches long, 33 inches wide, and 33 inches tall. She plans to cover the box with one coat of paint. Find the surface area of the box.
(a)   in2

16.

Rylee is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 26 inches long, 26 inches wide, and 26 inches tall. She plans to fill the box with props and costumes. Find the volume of the box.
(a)   in3

17.

Ella is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 27 inches long, 27 inches wide, and 27 inches tall. She plans to fill the box with props and costumes. Find the volume of the box.
(a)   in3

18.

Adrianna is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 30 inches long, 30 inches wide, and 30 inches tall. She plans to fill the box with props and costumes. Find the volume of the box.
(a)   in3

19.

Adrianna is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 30 inches long, 30 inches wide, and 30 inches tall. She plans to fill the box with props and costumes. Find the volume of the box.
(a)   in3

20.

Michelle is building a wooden box for a stage prop to use in the school play. The dimensions of the box are 33 inches long, 33 inches wide, and 33 inches tall. She plans to fill the box with props and costumes. Find the volume of the box.
(a)   in3

21.

Find the volume of the triangular pyramid. Round to the nearest hundredth, if necessary.

(a)   cm3

22.

Find the volume of the triangular pyramid. Round to the nearest hundredth, if necessary.

(a)   cm3

23.

Find the volume of the triangular pyramid. Round to the nearest hundredth, if necessary.

(a)   cm3

24.

Find the volume of the triangular pyramid. Round to the nearest hundredth, if necessary.

(a)   cm3

25.

Find the volume of the triangular pyramid. Round to the nearest hundredth, if necessary.

(a)   cm3

26.

A pentagonal pyramid is sliced by a plane, parallel to it’s base. What shape represents the cross section created?

a)

triangle

b)

pentagon

c)

rectangle

d)

trapezoid

27.

A rectangular prism is sliced by a plane, parallel to it’s base. What shape represents the cross section created?

a)

triangle

b)

pentagon

c)

rectangle

d)

trapezoid

28.

A square pyramid is sliced by a plane, perpendicular to it’s base. What shape represents the cross section created?

a)

triangle

b)

pentagon

c)

rectangle

d)

trapezoid

29.

A triangular prism is sliced by a plane, parallel to it’s base. What shape represents the cross section created?

a)

triangle

b)

pentagon

c)

rectangle

d)

trapezoid

30.

A hexagonal prism is sliced by a plane, perpendicular to it’s base. What shape represents the cross section created?

a)

triangle

b)

hexagon

c)

rectangle

d)

trapezoid

31.

The rectangle shown is a scale drawing of Austin’s bedroom. The scale of his drawing is 1inch = 1.5 feet. What is the area of Austin’s bedroom?

(a)   ft2

32.

The rectangle shown is a scale drawing of Austin’s bedroom. The scale of his drawing is 1inch = 1.5 feet. What is the area of Austin’s bedroom?

(a)   ft2

33.

The rectangle shown is a scale drawing of Justin’s bedroom. The scale of his drawing is 1inch = 1.5 feet. What is the area of Justin’s bedroom?

(a)   ft2

34.

The rectangle shown is a scale drawing of Julie’s bedroom. The scale of her drawing is 1inch = 2 feet. What is the area of Julie’s bedroom?

(a)   ft2

35.

The rectangle shown is a scale drawing of Julie’s bedroom. The scale of her drawing is 1inch = 2.5 feet. What is the area of Julie’s bedroom?

(a)   ft2

36.

Two right trapezoids are shown. The larger trapezoid is a scale model of the other, smaller trapezoid. What is the missing side length of the larger trapezoid?

(a)   cm

37.

Two right trapezoids are shown. The larger trapezoid is a scale model of the other, smaller trapezoid. What is the missing side length of the larger trapezoid?

(a)   cm

38.

Two right trapezoids are shown. The larger trapezoid is a scale model of the other, smaller trapezoid. What is the missing side length of the larger trapezoid?

(a)   cm

39.

Two right trapezoids are shown. The larger trapezoid is a scale model of the other, smaller trapezoid. What is the missing side length of the larger trapezoid?

(a)   cm

40.

Two right trapezoids are shown. The larger trapezoid is a scale model of the other, smaller trapezoid. What is the missing side length of the larger trapezoid?

(a)   cm

41.

A right pentagonal pyramid is shown. A slice, perpendicular to its base, is made. What shape is the cross section?

a)

pentagon

b)

triangle

c)

hexagon

d)

rectangle

42.

A triangular pyramid is shown. A slice, perpendicular to its base, is made. What shape is the cross section?

a)

pentagon

b)

triangle

c)

hexagon

d)

rectangle

43.

A triangular prism is shown. A slice, perpendicular to its base, is made. What shape is the cross section?

a)

pentagon

b)

triangle

c)

hexagon

d)

rectangle

44.

A hexagonal prism is shown. A slice, perpendicular to its base, is made. What shape is the cross section?

a)

pentagon

b)

triangle

c)

hexagon

d)

rectangle

45.

A cube is shown. A slice, perpendicular to its base, is made. What shape is the cross section?

a)

pentagon

b)

triangle

c)

square

d)

rectangle

46.

Select all of the solids that could be sliced horizontally or vertically to create a triangular cross section.

a)

b)

c)

d)

e)

47.

Select all of the solids that could be sliced horizontally or vertically to create a triangular cross section.

a)

b)

c)

d)

e)

48.

Select all of the solids that could be sliced horizontally or vertically to create a triangular cross section.

a)

b)

c)

d)

e)

49.

Select all of the solids that could be sliced horizontally or vertically to create a triangular cross section.

a)

b)

c)

d)

e)

50.

Select all of the solids that could be sliced horizontally or vertically to create a triangular cross section.

a)

b)

c)

d)

e)

51.

What is the total surface area of the square pyramid pictured?

(a)   in2

52.

What is the total surface area of the square pyramid pictured?

(a)   yd2

53.

What is the total surface area of the square pyramid pictured?

(a)   ft2

54.

What is the total surface area of the square pyramid pictured?

(a)   ft2

55.

What is the total surface area of the square pyramid pictured?

(a)   ft2

56.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 3 feet. What is the actual length (x) of the room, in feet?

(a)   ft.

57.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 2 feet. What is the actual length (x) of the room, in feet?

(a)   ft.

58.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 2.5 feet. What is the actual length (x) of the room, in feet?

(a)   ft.

59.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 4 feet. What is the actual length (x) of the room, in feet?

(a)   ft.

60.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 3.5 feet. What is the actual length (x) of the room, in feet?

(a)   ft.

61.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 3 feet. What is the actual width (y) of the room, in feet?
(a)   ft

62.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 4 feet. What is the actual width (y) of the room, in feet?
(a)   ft

63.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 2 feet. What is the actual width (y) of the room, in feet?
(a)   ft

64.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 2.5 feet. What is the actual width (y) of the room, in feet?
(a)   ft

65.

A builder designs a room. A scale drawing of the room is shown. The scale of the drawing is 1 inch = 2.5 feet. What is the actual width (y) of the room, in feet?
(a)   ft