Free Printable Surface Area & Volume

Worksheets

Surface Area & Volume

Total questions: 21

Worksheet time: 16mins

Name

Class

Date

Match the formulas.

Total Surface Area of a Cylinder

$2\pi r^2+2\pi rh$

Volume of a Cylinder

$\pi r^2h$

Total Surface Area of a Cone

$\pi r^2+\pi rs$

Volume of a Cone

$\frac{1}{3}\pi r^2h$

Match the formulas.

Total Surface Area of a Pyramid with a Regular Base

$B+\frac{1}{2}Ps$

Volume of a Pyramid

$\frac{1}{3}Bh$

Total Surface Area of a Prism with a Regular Base

$2B+Ph$

Volume of a Prism

$Bh$

Match the formulas.

Total Surface Area of a Square Pyramid

$l^2+2ls$

Total Surface Area of a Rectangular Prism

$2lw+2lh+2wh$

Surface Area of a Sphere

$4\pi r^2$

Volume of a Rectangular Prism

$lwh$

Volume of a Sphere

$\frac{4}{3}\pi r^3$

According to Cavalieri's Principle, these two stacks would have the same volume because all of their (a) are congruent.

Choose from the below words

cross sections

heights

prisms

faces

Select the correct dimensions of the cone.

a)radius (r)

b)height (h)

c)slant height (s)

d)diameter (d)

e)area of base (B)

f)width (w)

g)circumference (C)

What is the height of the triangular prism?

31 cm

21 cm

20 cm

29 cm

The image is a 2D representation of what solid?

pentagonal prism

hexagonal pyramid

cylinder

rectangular prism

Find the slant height (s) of the square pyramid. Round to the nearest tenth.

(hint: use Pythagorean Theorem)

13.8 meters

9.4 meters

15.8 meters

12.2 meters

Find the total surface area of the cylinder. Round to the nearest tenth.

150.8 yd²

125.7 yd²

25.1 yd²

138.2 yd²

10.

If you triple the radius and triple the height of the cylinder pictured, what is the new total surface area? Round to the nearest tenth.

1,357.2 yd²

452.4 yd²

3,392.9 yd²

603.2 yd²

11.

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

301.6 in³

150.8 in³

251.3 in³

100.5 in²

12.

If you halve (divide by 2) the radius and the height of the cylinder pictured, what is the new volume? Round to the nearest tenth.

37.7 in³

150.8 in³

75.4 in³

62.8 in³

13.

Find the total surface area of the square pyramid. Round to the nearest tenth.

288 in²

260 in²

266.7 in²

800 in²

14.

Find the volume of the square pyramid. Round to the nearest tenth.

266.7 in³

313.3 in³

288 in³

800 in³

15.

Find the total surface area of the triangular prism. Round to the nearest tenth.

343 mm²

415.7 mm²

288 mm²

352 mm²

16.

Find the volume of the triangular prism. Round to the nearest tenth.

332.6 mm³

384 mm³

110.9 mm³

768 mm²

17.

Find the surface area of the cone. Round to the nearest tenth.

365.7 yd²

505.2 yd²

1,515.5 yd²

339.3 yd²

18.

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

452.4 yd³

505.2 yd³

1,357.2 yd³

339.3 yd³

19.

Calculate the volume and surface area of the sphere.

What is the volume to surface area ratio? (divide them!) Round to the nearest tenth.

1.7

0.6

0.3

3.3

20.

Find the volume of each solid.

If you were to fully fill the pyramid with water and pour it into the prism, how many pours would it take to completely fill the prism?

26 pours

9 pours

15 pours

21 pours

21.

You're the new Supply Manager for a soup company. You need to buy more paper for soup can labels.

The can is 3.5 inches in diameter and the height of the label is 5 inches. The paper costs $0.75 per square foot. How much will it cost to manufacture labels for 1,000 cans of soup?

(hint: 144 in²= 1 ft²)

$286.34

$41,233.40

$572.69

$1,994.55

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Surface Area & Volume

Total questions: 21

Worksheet time: 16mins

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