Equations with Missing Values in Area and Volume

A square piece of land was rewarded by a master to his servant. They agreed that a portion of it represented by the rectangle inside, should be used to construct a grotto. How large is the area of the land that is available for the other uses?

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

• Bottom of the object

• Box

• Between

• Area of the base

If a rectangular prism's volume is 420cm³.  The prism has a  length of 12cm, and width of 7cm, what is height of the rectangular prism? 

• 12cm

• 5cm

• 420cm

• 84cm

Answer explanation

Divide volume by the area of the base.

What is the formula used to find the volume of a rectangular prism?

• V = Lw

• V = Lwh

• V = 1/2bh

• V = 2∏r

This shape has a length of 12 units and a width of 10 units. If the volume of this shape is 960 units³. What is the height?

• 9 units

• 9 units³

• 8 units

• 8 units³

A rectangular bucket has a base area of 12 inches squared. The bucket is filled with water and oil to a depth of 8 in. The oil and water separate into two layers when the oil rises to the top. If the thickness of the oil layer is 2inches, what is the volume of the water?

• 6 cubic inches

• 24 cubic inches

• 96 cubic inches

• 72 cubic inches

Mrs. Caroline has a rectangular table. The height is 6 ft. The length is 14 ft. The volume of the table is 336 ft.

What is the width?

• 40ft

• 30ft

• 14ft

• 24ft

What is the volume of this structure?

• 80 square units

• 16 units cubed

• 80 cubic units

• 36 units cubed

What is the volume of the prism?

• 80 cubic units

• 60 cubic units

• 80 units

• 60 units

What is the volume of this figure?  

• 12 cubic inches 

• 27 cubic inches 

• 108 cubic inches

• 109 cubic inches