Surface Area & Volume 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

What is the surface area of a cube with a side length of 4 inches?

Back

Surface Area = 6 × (side length)² = 6 × 4² = 96 square inches.

Front

If a rectangular prism has a length of 10 inches, a width of 5 inches, and a height of 2 inches, what is its volume?

Back

Volume = 10 × 5 × 2 = 100 cubic inches.

Front

What is the volume of a cube with a side length of 3 inches?

Back

Volume = (side length)³ = 3³ = 27 cubic inches.

Front

What is the height of a rectangular prism if its volume is 60 cubic inches, length is 5 inches, and width is 3 inches?

Back

Height = Volume / (length × width) = 60 / (5 × 3) = 4 inches.

Front

What is the surface area of a rectangular prism with dimensions 2 inches by 3 inches by 4 inches?

Back

Surface Area = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 52 square inches.

Front

What is the relationship between surface area and volume in three-dimensional shapes?

Back

Surface area measures the total area of the surface, while volume measures the space inside the shape.

Front

If the side length of a cube is doubled, how does the surface area change?

Back

The surface area increases by a factor of 4 (since Surface Area = 6 × (2 × side length)² = 4 × 6 × (side length)²).

Front

What is the formula for the volume of a cube?

Back

Volume = (side length)³.