Practice(Volume and Surface Area Rectangular Prisms)

Front

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

Back

Volume = length x width x height.

Front

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

Back

Volume = 10 ft x 5 ft x 2 ft = 100 cubic ft.

Front

What is the height of a rectangular prism if its volume is 240 cubic ft, length is 10 ft, and width is 6 ft?

Back

Height = Volume / (length x width) = 240 / (10 x 6) = 4 ft.

Front

How do you find the surface area of a rectangular prism with dimensions 4 in, 3 in, and 5 in?

Back

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

Front

What is the surface area of a rectangular prism with a length of 12 ft, width of 10 ft, and height of 5 ft?

Back

Surface Area = 2(12*10 + 12*5 + 10*5) = 2(120 + 60 + 50) = 2(230) = 460 ft².

Front

If a rectangular prism has a volume of 500 cubic cm and a height of 10 cm, what is the area of the base?

Back

Area of the base = Volume / height = 500 cm³ / 10 cm = 50 cm².

Front

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

Back

Surface Area = 2(6*4 + 6*3 + 4*3) = 2(24 + 18 + 12) = 2(54) = 108 ft².

Front

How much paint is needed to cover a shed with a surface area of 532 ft²?

Back

You need enough paint to cover 532 ft².

Front

What is the volume of a swimming pool that is 30 ft long, 15 ft wide, and 8 ft deep, leaving the top 2 ft unfilled?

Back

Volume = 30 ft x 15 ft x (8 ft - 2 ft) = 30 x 15 x 6 = 2700 cubic ft.