Volume of prisms with fractional length

Front

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

Back

Volume = length × width × height.

Front

How do you calculate the volume of a prism with fractional dimensions?

Back

Multiply the fractional dimensions together: Volume = (length) × (width) × (height).

Front

If a box has dimensions of 4.5 ft, 3.2 ft, and 4.2 ft, what is its volume?

Back

Volume = 4.5 × 3.2 × 4.2 = 60.48 cubic feet.

Front

What is the volume of a box with dimensions 2 ft, 4 ft, and 1 ft?

Back

Volume = 2 × 4 × 1 = 8 cubic feet.

Front

How many 1/2 ft cubes can fit in a box with a volume of 8 cubic feet?

Back

Volume of one cube = (1/2) × (1/2) × (1/2) = 1/8 cubic feet. Number of cubes = 8 / (1/8) = 64 cubes.

Front

What is the significance of using fractional dimensions in volume calculations?

Back

Fractional dimensions allow for more precise measurements and can represent real-world objects more accurately.

Front

If a box can hold 105 boxes of a certain size, what does this tell you about its volume?

Back

The volume of the larger box is sufficient to contain the total volume of 105 smaller boxes.

Front

What is the relationship between volume and capacity?

Back

Volume measures the space an object occupies, while capacity refers to the amount of substance (like liquid) that can fill that space.

Front

How do you determine which of two boxes has a greater volume?

Back

Calculate the volume of each box using the formula and compare the results.

Front

What is a cubic unit?

Back

A cubic unit is a measure of volume that represents a cube with sides of one unit length.