A factory makes cubical storage bins. A small bin has edge 3 cm and a large bin holds 27 times the volume of the small bin. Since volume scales as edge cubed, find the edge of the large bin using cube roots.

Question

Accepted Answer

9 cm. Large volume = 27 x 27 = 729 cubic cm (small volume = 3^3 = 27). Edge = 3√729 = 9 cm. (Check: 9/3 = 3 = 3√27.)

A factory makes cubical storage bins. A small bin has edge 3 cm and a large bin holds 27 times the volume of the small bin.
Since volume scales as edge cubed, find the edge of the large bin using cube roots.

Step-by-Step Solution

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More Class 8 Finding Cube Roots practice

A factory makes cubical storage bins. A small bin has edge 3 cm and a large bin holds 27 times the volume of the small bin.Since volume scales as edge cubed, find the edge of the large bin using cube roots.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Finding Cube Roots practice

A factory makes cubical storage bins. A small bin has edge 3 cm and a large bin holds 27 times the volume of the small bin.
Since volume scales as edge cubed, find the edge of the large bin using cube roots.