Volume and Surface Area of Rectangular Prisms

Front

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

Back

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

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = l × w × h, where l = length, w = width, h = height.

Front

Calculate the surface area of a rectangular prism with length 5 m, width 4 m, and height 3 m.

Back

Surface Area = 2(5*4 + 5*3 + 4*3) = 2(20 + 15 + 12) = 2(47) = 94 m².

Front

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

Back

Volume = 10 × 5 × 2 = 100 cm³.

Front

What is the surface area of a rectangular prism with dimensions 6 in, 4 in, and 3 in?

Back

Surface Area = 2(6*4 + 6*3 + 4*3) = 2(24 + 18 + 12) = 2(54) = 108 in².

Front

Define 'rectangular prism'.

Back

A three-dimensional shape with six faces, all of which are rectangles.

Front

What is the relationship between the surface area and volume of a rectangular prism?

Back

Surface area measures the total area of the prism's faces, while volume measures the space inside the prism.

Front

If the dimensions of a rectangular prism are doubled, how does the surface area change?

Back

The surface area increases by a factor of 4.

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

The volume increases by a factor of 8.

Front

What is the surface area of a rectangular prism with a length of 8 cm, width of 3 cm, and height of 5 cm?

Back

Surface Area = 2(8*3 + 8*5 + 3*5) = 2(24 + 40 + 15) = 2(79) = 158 cm².