9.1.3 Day 1 In-Class Practice

Front

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

Back

Volume = length × width × height.

Front

How do you calculate the surface area of a rectangular prism?

Back

Surface Area = 2(length × width + length × height + width × height).

Front

If the volume of a rectangular prism is 100 cubic feet, what does this mean?

Back

It means the space inside the prism can hold 100 cubic feet of material.

Front

What is the height of a rectangular prism if the volume is 312 cm³, length is 6 cm, and width is 4 cm?

Back

Height = Volume / (length × width) = 312 / (6 × 4) = 13 cm.

Front

What is the total surface area of a rectangular prism with dimensions 5 ft × 4 ft × 3 ft?

Back

Surface Area = 2(5×4 + 5×3 + 4×3) = 2(20 + 15 + 12) = 2(47) = 94 ft².

Front

What is a prism?

Back

A prism is a solid shape with two identical ends and flat sides. The sides are parallelograms.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's outer surfaces.

Front

How do you find the area of a pentagonal base?

Back

Use the formula: Area = (1/4)√(5(5 + 2√5)) × side², where 'side' is the length of a side of the pentagon.

Front

What is the surface area of a box with a pentagonal base area of 84.3 ft² and a height of 6 ft?

Back

Surface Area = Base Area + Perimeter × Height. Calculate perimeter and apply the formula.

Front

What units are used for measuring volume?

Back

Common units for volume include cubic centimeters (cm³), cubic meters (m³), and cubic feet (ft³).