Practice with Formula Manipulation

What is the height of a cylinder with a surface area of 78,539.82 square millimeters?

• 100mm

• 200mm

• 50mm

• 300mm

A rectangle's length is 3 more than its width. The perimeter of the rectangle is 38 centimeters. What is the measure of the length of the rectangle?

• 11 cm

• 10 cm

• 9 cm

• 8 cm

The area of a triangle with a height of 12 inches is 48 square inches. What is the length of the base of the triangle?

• 4 in

• 3 in

• 2 in

• 1 in

Examine the rectangular prism. A new rectangular prism with the same dimensions for the base (5cm x 2cm) has a surface area of 216 square centimeters. What is the measure of the height of the new rectangle?

• 21.6 cm

• 20 cm

• 18.2 cm

• 14 cm

A cone and a cylinder have the same base and height. The cone is shown. What is the volume of the cylinder?

• 942.478 cubic centimeters

• 314.159 cubic centimeters

• 188.496 cubic centimeters

• 62.832 cubic centimeters

A cylinder has a volume of 796.39 cubic meters. Its height is 6 meters. What is the length of its diameter?

• 6.5 meters

• 7 meters

• 11.5 meters

• 13 meters

A sphere has a volume 113.097 cubic yards. What is the length of its radius?

• 2 yds

• 3 yds

• 4 yds

• 9 yds

A triangular prism has a base area of 60 cubic meters. The perimeter of the base is 28 meters. What is the height of the prism if its surface area is 1100 square meters?

• 10 m

• 12 m

• 25 m

• 35 m

A cone has a volume of 201.06 cubic centimeters. Its height is 12 centimeters. What is the length of the radius of the cone?

• 4 cm

• 8 cm

• 16 cm

• 20 cm

The interest earned on a simple interest account over an 8 year period was $350. If the interest rate was 3.5%, what was the initial investment?

• $12.50

• $125.00

• $1250.00

• $12500.00