Volume and Surface Area of Rectangular Prisms

Front

What is the formula for the total surface area of a rectangular prism?

Back

Total Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

If a rectangular prism has a length of 5 inches, a width of 4 inches, and a height of 3 inches, what is its volume?

Back

Volume = 5 × 4 × 3 = 60 cubic inches.

Front

What is the unit of measurement for volume?

Back

Cubic units (e.g., cubic inches, cubic centimeters).

Front

What is the unit of measurement for surface area?

Back

Square units (e.g., square inches, square centimeters).

Front

If a box has a volume of 24 cubic units and a height of 4 units, what is the area of the base?

Back

Area of the base = Volume / height = 24 / 4 = 6 square units.

Front

What dimensions would give a rectangular prism a volume of 12 cubic units?

Back

Possible dimensions: length = 2, width = 3, height = 2 (2 × 3 × 2 = 12).

Front

How much gift wrap is needed to cover a rectangular prism with dimensions 5 inches long, 8 inches wide, and 10 inches tall?

Back

340 square inches.

Front

What is the relationship between the dimensions of a rectangular prism and its volume?

Back

The volume is directly proportional to the product of its length, width, and height.

Front

If the length of a rectangular prism is doubled, how does that affect the volume?

Back

The volume also doubles, assuming width and height remain constant.