Surface Area and Volume of Prisms

Front

What is surface area?

Back

The sum of the areas of all the surfaces (faces) of a 3D shape.

Front

What is volume?

Back

The amount of space occupied by a 3D shape, measured in cubic units.

Front

How do you calculate 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

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

Back

Surface Area = 2(5*4 + 5*3 + 4*3) = 2(20 + 15 + 12) = 2(47) = 94 in².

Front

Find the volume of a rectangular prism with length 5 ft, width 4 ft, and height 3 ft.

Back

Volume = 5 × 4 × 3 = 60 ft³.

Front

What is a prism?

Back

A solid shape with two identical ends and flat sides, where the sides are parallelograms.

Front

What is the difference between surface area and volume?

Back

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

Front

If a rectangular prism has a surface area of 88 square inches, what could be its dimensions?

Back

Possible dimensions could be 4 in × 4 in × 5 in.

Front

What is the surface area of a cube with side length 3 cm?

Back

Surface Area = 6 × (side length)² = 6 × (3)² = 54 cm².