A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m3. What is the width?

A prism has a length of 7 meters, width of w, and height of 5 meters.

Which steps are correct? Check all that apply.

Substitute the known values into the formula:

140 = 7 (w) (5).

Substitute the known values into the formula:

7 = 140 (w) (5).

Substitute the known values into the formula:

5 = 7 (w) (140).

Solve for the unknown: w = 4 m.

Solve for the unknown: w = 7 m.

Solve for the unknown: w = 2 m.

A. Substitute the known values into the formula: 140 = 7 (w) (5).

- Solve for the unknown: w = 4 m.

Step-by-step explanation:

Given

Solid Shape: Rectangular Prism

Volume = 140m³

Length = 7m

Height = 5m

The volume of a rectangular prism is calculated using the following formula

V = LWH

Where V represents the volume; L represents the length; W represents the width and H represents the height of the prism.

From the given data above;

V = 140; L = 7 and H = 5

To calculate W, we have to substitute the given values in the above equation

This gives;

140 = 7 * w * 5

The above expression is represented by option A; hence option A is correct.

Solving further

Collect like terms

140 = 7 * 5 * w

140 = 35 * w

140 = 35w

Divide through by 35

140/35 = 35w/35

4 = w

Reorder

w = 4m

With this option D is also selected.

a and d