Free Printable Volumes of 3 Dimensional figures

1.

George spends 20 minutes inflating a beach ball. When the ball is completely inflated, it has a diameter if 18 inches. How much air does the beach ball hold?

a)

75.40 in³

b)

37.70 in³

c)

3053.63 in³

d)

24429.02 in³

2.

A cylindrical water tank has a height of 10 feet and a diameter of 8 feet. The tank is filled halfway with water. What is the volume of the water currently in the tank?

a)

2010.62 ft³

b)

251.33 ft³

c)

502.65 ft³

d)

1005.31 ft³

3.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

4.

Jen has a silver charm on her bracelet in the shape of a soccer ball with a radius of 1 centimeter. What is the volume of this charm?

a)

4.18 cm³

b)

5.4 cm³

c)

7.5 cm³

d)

2.4 cm³

5.

Rafael makes a cone-shaped holiday decoration out of styrofoam. It has a 10-inch diameter, and a 24-inch height. How much styrofoam did he use to make the decoration?

a)

753.98 in³

b)

376.99 in³

c)

7539.82 in³

d)

628.32 in³

6.

Calculate the Volume

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

7.

Sara and Alanna each drew a cylinder. Sara drew cylinder A. Alanna drew cylinder B. Which cylinder will have a greater volume?

a)

Cylinder A

b)

Cylinder B

8.

Find the volume of a HEMIsphere with a radius of 4.

a)

85.3π

b)

62.67π

c)

42.67π

d)

8π

9.

Jenna created a cylinder that has a radius of 4 and has a volume of 600 cubic inches. Find the height of the cylinder.

a)

11.9

b)

18

c)

47.7

d)

95.5

10.

An oatmeal container has a diameter of 20 cm and can hold 1570 cm3 of oatmeal. What is the height of the container of oatmeal?

a)

.397 cm

b)

12.49cm

c)

5 cm

d)

1,255.84 cm

11.

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

a)

176.6 ft³

b)

141.3 ft³

c)

88.3 ft³

d)

70.7 ft³

12.

What is the name of this 3D solid?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Triangular Proton

d)

Square Base Triangle

13.

What is the name of this 3D solid?

a)

Hexagonal Prism

b)

Hexagonal Pyramid

c)

Pentagonal Pyramid

d)

Pentagonal Prism

14.

Name a prism that has a base shape with 5 sides.

a)

Hexagonal Prism

b)

Octagonal Prism

c)

Rectangular Prism

d)

Pentagonal Prism

15.

A solid shape with a rectangle base and triangular faces that meet to form an apex.

a)

Rectangular pyramid

b)

Area

c)

Quadrilateral

d)

Rectangular Prism

16.

What is the name of this 3D solid?

a)

Square Pyramid

b)

Hexagonal Pyramid

c)

Triangular Pyramid

d)

Triathlon Pyramid

17.

What is the name of this 3D solid?

a)

Hexagonal Prism

b)

Pentagonal Prism

c)

Octogonal Pyramid

d)

Heptagonal Pyramid

18.

This shape is NOT a polyhedron.

a)

Pentagonal Prism

b)

Cube

c)

Sphere

d)

Rectangular pryamid

19.

Is the red line a radius or diameter of the circle?

a)

radius

b)

diameter

20.

Which cylinder will have the greater volume?

(Formula: $V\ =\ \pi\cdot r^2\cdot h$ )

a)

Cylinder A

b)

Cylinder B

21.

What is the volume of the cone?

(Formula: $v\ =\left(\frac{1}{3}\right)\cdot\pi\cdot r^2\cdot h$ )

a)

$14.13\ in^3$

b)

$56.52\ in^3$

c)

$169.56\ in^3$

22.

Find the volume.

(Formula: $V\ =\ l\cdot w\cdot h$ )

a)

$1120\ ft^3$

b)

$2110\ ft^3$

c)

$3120\ ft^3$

23.

The units for surface area are always

a)

units

b)

$units^2$

c)

$units^3$

24.

What is the height of the prism?

a)

4 cm

b)

5 cm

c)

15 cm

25.

What is the area of the triangular base "B" of the prism?

(Formula: $A\ =\ \frac{1}{2}\cdot b\cdot h$ )

a)

$6\ cm^2$

b)

$10\ cm^2$

c)

$12\ cm^2$

26.

Find the volume of the cube.

(Formula: $V\ =\ l\cdot w\cdot h$ )

a)

$45\ mm^2$

b)

undefined

c)

$3375\ mm^2$

d)

$3375\ mm^3$

Volumes of 3 Dimensional figures

Total questions: 26

Worksheet time: 3hrs 53mins

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