Volume

If a rectangular prism has a base area of 26 cm² and a height of 5 cm, how do you calculate its volume?

• Add the base area and height: Volume = base area + height = 26 cm² + 5 cm = 31 cm³.

• Multiply the base area by the height: Volume = base area × height = 26 cm² × 5 cm = 130 cm³.

• Subtract the height from the base area: Volume = base area - height = 26 cm² - 5 cm = 21 cm³.

• Divide the base area by the height: Volume = base area ÷ height = 26 cm² ÷ 5 cm = 5.2 cm³.

If a rectangular prism has a volume of 420 cm³, a length of 12 cm, and a width of 7 cm, what is the height?

• 3 cm

• 5 cm

• 7 cm

• 10 cm

What is the volume of a rectangular prism if its dimensions are all equal (a cube)?

• Volume = side²

• Volume = side³

• Volume = 6 × side

• Volume = side × side

What is the volume of a rectangular prism with dimensions 2 ft, 4 ft, and 6 ft?

• 24 cubic feet

• 36 cubic feet

• 48 cubic feet

• 60 cubic feet

What is the relationship between the dimensions of a rectangular prism and its volume?

• The volume is inversely proportional to the dimensions.

• The volume is directly proportional to the product of its length, width, and height; increasing any dimension increases the volume.

• The volume remains constant regardless of the dimensions.

• The volume is only affected by the height of the prism.

What units are used to express volume?

• Cubic centimeters (cm³)

• Liters (L)

• Grams (g)

• Square meters (m²)

How do you convert the volume from cubic centimeters to cubic meters?

• Multiply the volume in cm³ by 1,000,000

• Divide the volume in cm³ by 1,000,000

• Add 1,000,000 to the volume in cm³

• Subtract 1,000,000 from the volume in cm³

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

• Volume = length + width + height.

• Volume = length × width × height.

• Volume = length × width - height.

• Volume = length ÷ width × height.

What is the significance of the base area in calculating the volume of a prism?

• It determines the shape of the prism.

• It represents the area of the base that is extended vertically by the height to determine the volume.

• It is used to calculate the surface area of the prism.

• It has no significance in volume calculation.

If Jim's box has a volume of 48 cubic feet and Paul's box has a volume of 45 cubic feet, how much more can Jim's box hold?

• 2 cubic feet

• 3 cubic feet

• 4 cubic feet

• 5 cubic feet