Surface Area and Volume 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, width 4, and height 3.

Back

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

Front

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

Back

Volume = 5 × 4 × 3 = 60.

Front

What is the surface area of a rectangular prism with dimensions 10, 8, and 6?

Back

Surface Area = 2(10*8 + 10*6 + 8*6) = 2(80 + 60 + 48) = 2(188) = 376.

Front

What is the volume of a rectangular prism with dimensions 10, 8, and 6?

Back

Volume = 10 × 8 × 6 = 480.

Front

If a rectangular prism has a surface area of 164, what could be its dimensions?

Back

Possible dimensions could be 5, 4, and 3 (Surface Area = 94).

Front

If a rectangular prism has a volume of 120, what could be its dimensions?

Back

Possible dimensions could be 4, 5, and 6 (Volume = 120).

Front

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

Back

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

Front

How does increasing the height of a rectangular prism affect its volume?

Back

Increasing the height increases the volume, as volume is directly proportional to height.