Two cuboidal boxes have the same total surface area. Box A is 9 cm $x$ 6 cm $x$ h cm and box B is a cube of edge 6 cm.
Find the height h of box A (in cm).

Question

Two cuboidal boxes have the same total surface area. Box A is 9 cm x 6 cm x h cm and box B is a cube of edge 6 cm. Find the height h of box A (in cm).

Accepted Answer

3.6. Cube TSA = 6x36 = 216. For A: 2(54 + 9h + 6h) = 108 + 30h = 216, so 30h = 108, h = 3.6 cm.

Two cuboidal boxes have the same total surface area. Box A is 9 cm $x$ 6 cm $x$ h cm and box B is a cube of edge 6 cm.
Find the height h of box A (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Surface Area of Cuboid and Cube practice

Two cuboidal boxes have the same total surface area. Box A is 9 cm x 6 cm x h cm and box B is a cube of edge 6 cm.Find the height h of box A (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Surface Area of Cuboid and Cube practice

Two cuboidal boxes have the same total surface area. Box A is 9 cm $x$ 6 cm $x$ h cm and box B is a cube of edge 6 cm.
Find the height h of box A (in cm).