Perimeter & Area

Problem

Ribbon around a box: four equal parts

A box with top edges 30 cm and 35 cm and height 40 cm is tied with ribbon that wraps around once in each direction, plus 45 cm of ribbon for the bow. Find the total ribbon length in meters and centimeters.
30 cm 35 cm 40 cm
Measurement & data
Your answer
How to solve
Strategy Draw a Diagram — Picture each wrap as a loop around the box. One loop circles the 30 cm side and the height; the other circles the 35 cm side and the height. Each loop uses two of its base edge and two heights. Add both loops, then add the bow.
1STEP 1

Length of the loop in the 30 cm direction

One loop crosses the top, down a side, under the bottom, up the other side: two 30 cm edges and two 40 cm heights make 140 cm.

30 + 40 + 30 + 40 = 140 cm
2STEP 2

Length of the loop in the 35 cm direction

The other loop uses two 35 cm edges and two 40 cm heights: 150 cm.

35 + 40 + 35 + 40 = 150 cm
3STEP 3

Add both loops and the bow

Add the two loops and the 45 cm bow to get 335 cm in all.

140 + 150 + 45 = 335 cm = 3 m 35 cm
Answer
3 m 35 cm
140 + 150 + 45 = 335 cm = 3 m 35 cm
Each loop is a bit over 1 m, and two loops plus a 45 cm bow land near 3.4 m; 3 m 35 cm fits and the unit (length) matches the question.
Takeaway

Each ribbon wrap is just a rectangle's perimeter — add both loops and the bow, plain Grade 3 length work!

  • Length of the loop in the 30 cm direction
  • Length of the loop in the 35 cm direction
  • Add both loops and the bow
Where next?
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