Free Printable Math 7 - cross sections, volume, and surface area REVIEW

Worksheets

Math 7 - cross sections, volume, and surface area REVIEW

Total questions: 40

Worksheet time: 7hrs 40mins

Name

Class

Date

What shape will the horizontal cross-section of a cone be?

Dome

Circle

Pyramid

Triangle

What shape will the vertical cross -section of a cylinder be?

Circle

Triangle

Rectangle

Ellipse

What cross-section is formed by slicing through a cube perpendicular to any face?

rectangle

square

parallelogram

triangle

What would result from slicing a rectangular pyramid perpendicular to the base?

Circle

Square

Rectangle

Triangle

What would result from slicing a rectangular pyramid parallel to the base?

Circle

Square

Rectangle

Triangle

What is volume?

The distance around a 2-D shape.

The sum of all the areas of all the shapes that cover the surface of the object.

The amount of space, measured in cubic units, that an object occupies.

The distance around a circle.

Which real-world situation best represents an example of volume?

The amount of soup in a can.

The amount of cardboard it takes to make an Fed Ex box.

A fence that encompasses a circular garden.

A rectangular rug that covers the floor.

What is the volume of the prism?

$542\ in^3$

$262.5\ in^3$

$35\ in^3$

$525\ in^3$

What is the volume of the prism?

$132\ cm^3$

$330\ cm^3$

$66\ cm^3$

$264\ cm^3$

10.

What is the volume of the cube?

$8\ cm^3$

$6\ cm^3$

$24\ cm^3$

$4\ cm^3$

11.

Which formula is used to find the volume of a cylinder?

$lwh$

$2\pi r$

$\pi r^2$

$\pi r^2h$

12.

Find the volume of the rectangular prism.

55 yd³

121 yd³

22 yd³

330 yd³

13.

Find the volume of the solid shown in the figure. Round to the nearest whole number.

7230

6621

1131

907

14.

Find the volume of the figure. Round to the nearest tenth.

80 cm³

40 cm²

80 cm²

40 cm³

15.

Find the Volume of the triangular prism.

V = (base area)(height)

960 cm³

240 cm³

1920 cm³

400 cm³

16.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

418.00 cm³

139.33 cm³

130.62 cm³

1671.98 cm³

17.

A cereal box is 12cm tall. The area of the base is 7cm. What is the volume?

84 cm²

84 cm³

83 cm

18.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

V = π(9)

V = π(4.5)²(32)

V = π(9)²(32)

V = π(4.5)(32)

19.

Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?

5596.07 in³

282.7. in³

1696.5 in³

424.1 in³

20.

A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.

10,250 cm³

11,250 cm³

11,250 ft³

700 cm³

21.

Soda is sold in aluminum cans that measure

4.83 inches in height and 2.6 inches in diameter. What is the volume? Use 3.14 for π, & round to the nearest tenth.

25.6 in³

26.3 in³

19.7 in³

95.2 in³

22.

Find the Volume

72 cubic cm

24 cubic cm

576 cubic cm

48 cubic cm

23.

What is the volume of both shapes?

150 cm³

65 cm³

300 cm³

225 cm³

24.

What is the Surface Area?

101.94

110.94

110.49

101.49

25.

Find the total surface area of the prism.

48 square inches

64 square inches

88 square inches

76 square inches

26.

What is the total surface area of the triangular prism shown?

468 in²

540 in²

576 in²

700 in²

27.

Find the total surface area of the shape shown.

3000 in²

1350 in²

1800 cm²

2100 cm²

28.

Find the surface area of the cylinder.

60.4 m²

188.4 m²

94.2 m²

881.9 m²

29.

Find the surface area of the cylinder.

100.53 square inches

351.86 square inches

251.33 square inches

50.27 square inches

30.

Find the Total Surface area of the cylinder. Round to the nearest tenth.

62.8m

477.3 cm²

235.5 cm³

942.0 cm²

31.

What is surface area?

The distance around the outside of a two-dimensional figure

The number of square units in a two-dimensional figure

The number of cubic units needed to fill a three-dimensional figure.

The sum of the areas of all surfaces on a three-dimensional figure

32.

You want to figure out how cherry coke is inside a can of Coca-Cola. The radius is 2 inches and the 3-D height is 6 inches. How much cherry coke fits inside the can?

68.56 cubic inches

75.36 cubic inches

83.76 cubic inches

94.7 cubic inches

33.

You want to wrap the box in the image. How much wrapping paper would you need?

415 squared cm

489 squared cm

302 squared cm

612 squared cm

34.

Elena wants to paint her jewelry box blue. The jewelry box is in the shape of a cube and has an edge length of 4 in. How much blue paint will Elena need?

Is the problem asking for SURFACE AREA or VOLUME?

Volume

Surface Area

35.

Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker?

Is the problem asking for SURFACE AREA or VOLUME?

Volume

Surface Area

36.

You have two cylindrical containers to hold popcorn. Bucket A has 15 in tall and has a radius of 5 in. Bucket B is 5 in tall and has a radius of 15 in. Which will hold more popcorn?

Bucket A

Bucket B

37.

Ben drew a cylinder with a ten-inch diameter and a height of 8 inches. Robert drew a cylinder with an eight-inch diameter and a height of 10 inches. Ben stated that he thought the volumes of their two cylinders would be equal. Which statement is true?

Ben’s statement is correct. They will have the same volume.

Ben’s statement is incorrect. Ben’s cylinder will have a volume about 125 cubic units more than Robert’s cylinder.

Ben’s statement is incorrect. Ben’s cylinder will have a volume about 300 cubic units more than Robert’s cylinder.

Ben’s statement is incorrect. Robert’s cylinder will have a volume about 125 cubic units more than Ben’s cylinder.

38.

You want to wrap the box in the image. How much wrapping paper would you need?

415 squared cm

489 squared cm

302 squared cm

612 squared cm

39.

You are putting in a pool at your house in the shape of a rectangular prism. The length is 40 ft, the width is 20 ft and the depth is 12 ft. If each cubic foot of water weighs 3.2 pounds, how much will the weight of the water in the pool be total?

3000 pounds

3200 pounds

9600 pounds

30,702 pounds

40.

Faith, like a crazy person, wants to paint all four walls and the ceiling of her room a purple color. How much paint will she need if her room is 12 feet long, 10 feet wide, and 8 feet tall?

492 square feet

472 square feet

1920 square feet

1800 square feet

100 %

Math 7 - cross sections, volume, and surface area REVIEW

Total questions: 40

Worksheet time: 7hrs 40mins

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