Scale Factors
Volume
Surface Area
Missing Measurements
Mixed Problems
100

A circle with an area of 10 square inches is dilated by a scale factor of 5. What is the resulting area of the image? Show your work. 

250 square inches 

100

Find the volume of the rectangular prism below. Show your work. 

140 cubic inches 

100

Find the surface area of the cube below. Show your work. 


216 square centimeters. 

100

The volume of a rectangular prism is 40 cubic centimeters. If the width and length of the prism are 4 cm and 5 cm, what is the height of the prism? Show your work. 

2 cm

100

Name 3 solids that have a cross section that is a triangle. 

Cone, triangular prism, rectangular prism, cube, pyramid 

200

What is the scale factor of dilation between rectangle BCDA and rectangle B'C'D'A'? 

1/2

200

Find the volume of the pyramid below. Show your work. 

4480 cubic feet. 

200

Find the surface area of the rectangular prism below. Show your work. 

142 square centimeters.

200

The cylinder below has a volume of 

100pi

What is the radius of the cylinder. Show your work.

5 units. 

200

What is the cross section formed when a cylinder is cut vertically? 

Rectangle 

300

The rectangular prism below is going to be dilated with a scale factor of 3. Find the volume of the dilated prism. Show your work. 


1944 cubic cm 

300

Find the volume of the cone below. Show your work. 

113 u^3

36pi u^3

300

Find the surface area of the triangular prism below. Show your work. 

180 square inches. 

300

The volume of a pyramid is 40 cubic feet. If the area of the base of the pyramid is 40 square feet, what is the height of the pyramid? Show your work.

3 feet 

300

Find the volume of a triangular pyramid whose base is a right triangle with legs 6 cm and 5 cm, and whose height is 8 cm. Show your work. 

40 cubic centimeters.

400

A cylinder with a volume of 144 cubic centimeters is dilated, resulting in an image with a volume of 36 cubic centimeters. Find the approximate scale factor of the dilation. Show your work and round to the nearest hundredths place. 

k = 0.63 

400

Find the volume of the triangular prism below. Show your work. 


2160 cubic units

400

Find the surface area of the cylinder below. Show your work. 

112pim^2

352m^2

400

The volume of a cone is 770 cubic inches. The radius of the cone is 7 inches. What is the approximate height of the cone? Show your work. 

15 inches. 

400

A scale model of an oil tanker truck can hold 1 gallon of oil. If a trucking company wants the full-size truck to hold 8,000 gallons of oil, what scale factor must they apply to the model? Show your work. 

k=20 

500

A board game manufacturer wraps its game boxes in plastic. Its most popular game comes in a box that’s 8 cm tall and uses 1408 square centimeters of plastic wrap. The company sells a travel version of the game in a box that's a dilation of the original box. The travel version uses 198 square centimeters of plastic wrap. How tall is the travel version's box? Show your work. 

3 centimeters. 

500

Find the volume of the cylinder below. Show your work. 


918 cubic cm or 

292 pi

500

Find the surface area of the triangular prism below. Show all your work. 

1320 square units 

500

The volume of a square pyramid is 324 cubic inches. If the height of the pyramid is 12, find the length of one of the sides of the base. Show your work. 

9 inches 

500


It takes 80 square inches of cardboard to construct a cereal box. The cereal box can hold 24 ounces of cereal. The box is dilated to construct a jumbo cereal box, and it now takes 180 square inches of cardboard to construct a cereal box. How much cereal can the new box hold? 

81 ounces of cereal.