Volume and Surface Area of Prisms

Front

What units do we use when calculating volume?

Back

Cubic units

Front

Joy wants to create a box with a volume of 8 cubic units. Which dimensions would work? (length: 2 units, width: 4 units, height: 1 unit)

Back

This combination gives a volume of 8 cubic units (2 * 4 * 1 = 8).

Front

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

Back

Volume = length × width × height = 3 cm × 4 cm × 5 cm = 60 cm³.

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height.

Front

What is the total surface area of a rectangular prism with length 2 cm, width 3 cm, and height 4 cm?

Back

Total Surface Area = 2(lw + lh + wh) = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 52 cm².

Front

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

Back

Surface Area = (Base Area × 2) + (Perimeter of Base × Height).

Front

Find the volume of a triangular prism with a base area of 10 cm² and height of 5 cm.

Back

Volume = Base Area × Height = 10 cm² × 5 cm = 50 cm³.

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

If a prism has a base area of 12 cm² and a height of 3 cm, what is its volume?

Back

Volume = Base Area × Height = 12 cm² × 3 cm = 36 cm³.

Front

What is the total surface area of a cylinder with radius 3 cm and height 5 cm?

Back

Total Surface Area = 2πr(h + r) = 2π(3)(5 + 3) = 48π cm².