Missing edge from the volume, step by step

If a box holds 120 cm³ and two of its edges are 4 and 5, the third has to be 6 — because 4 × 5 × 6 is 120.

The question
V = 175 cm³5x7 cm

Missing edge of a box, volume 175

5 × 7 × x=175
5 × 7=35
175 ÷ 35=5
  1. The volume of a box is its three edges multiplied: length × width × height. You have the width (5), the depth (7), and the volume (175).
  2. Multiply the two edges you know first: 5 × 7 = 35.
  3. Then the missing edge is the volume divided by that: 175 ÷ 35 = 5.

How it works.

  1. 01

    The volume of a box is its three edges multiplied: length × width × height. You have the width (5), the depth (7), and the volume (175).

  2. 02

    Multiply the two edges you know first: 5 × 7 = 35.

  3. 03

    Then the missing edge is the volume divided by that: 175 ÷ 35 = 5.