Name
Using Formulas
Date
Directions: Read each question. Use the formula to solve for the missing variable.
1. The interior of a picnic cooler is in the shape of a rectangular prism. It has a width of 6 inches, a
length of 8 inches, and a volume of 336 cubic inches. What is the height of the picnic cooler?
𝑽 = 𝒍𝒘𝒉
2. The base of a juice glass is in the shape of a circle with a diameter of 5 centimeters. What is the
circumference of the base of the juice glass? (Use 3.14 for 𝜋.) 𝑪 = 𝒅𝝅
3. A carnival equipment manufacturer states that the circular platform of a particular merry-goround has a circumference of 12.56 meters. What is the platform's radius? (Use 3.14 for 𝜋.)
𝑪 = 𝒅𝝅
4. A rectangular prism and its dimensions are shown below. What is the volume, in cubic inches, of
the rectangular prism? 𝑽 = 𝒍𝒘𝒉
5. A circle has a diameter of 20 centimeters. What is the area, in square centimeters, of the circle?
(Use 3.14 for 𝜋.) 𝑨 = 𝝅𝒓𝟐
6. A box of crackers is in the shape of a rectangular prism and has the dimensions shown in the
diagram below. What is the surface area, in square centimeters, of the box of crackers?
𝑺𝑨 = 𝟐𝒍𝒘 + 𝟐𝒍𝒉 + 𝟐𝒘𝒉
.
7. A rectangular prism and some of its dimensions are shown below. The volume of the rectangular
prism is 40 cubic inches. What is h, the height, in inches, of the rectangular prism? 𝑽 = 𝒍𝒘𝒉
8. A rose garden is in the shape of a circle with a circumference of approximately 37.7 feet. About
how long is the diameter of the rose garden? (Use 3.14 for 𝜋.) 𝑪 = 𝒅𝝅
9. A rectangular prism has a volume of 56 cubic feet. The rectangular prism has a length of 7 feet
and a width of 4 feet. What is the height of the rectangular prism? 𝑽 = 𝒍𝒘𝒉
10.
A sphere and one of its dimensions are shown in the diagram below. What is the surface area,
in square inches of the sphere? 𝑺𝑨 = 𝟒𝝅𝒓𝟐
11.
A baseball has a diameter of 7.4 centimeters. What is the surface area of the baseball? (Use
3.14 for 𝜋). 𝑺𝑨 = 𝟒𝝅𝒓𝟐
12.
Ralph’s company makes doormats. Each doormat is in the shape of a semicircle, as shown in
the diagram below.
Each doormat has two parts: a rough fiber interior and a vinyl border.
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The rough fiber interior is in the shape of a semicircle with a diameter of 28 inches.
The vinyl border has a uniform width of 4 inches. The shaded part in the diagram
represents the vinyl border.
a. What is the radius, in inches, of the rough fiber interior?
b. What is the radius, in inches, of the entire doormat?
c. What is the area, in square inches, of the rough fiber interior? 𝑨𝒓𝒆𝒂 𝒐𝒇 𝒂 𝒄𝒊𝒓𝒄𝒍𝒆 = 𝝅𝒓𝟐
d. What is the area, in square inches, of the vinyl border?