Question

Mick has just purchase a new printer that came in a box with a surface area of 1,781.7 inches'2 If the box is 26.5 inches long and 9.3 inches wide what is the height of the box

Answer 1

18 inches.

Explanation:

We have been that Mick has has just purchase a new printer that came in a box with a surface area of 1,781.7 square inches. The box is 26.5 inches long and 9.3 inches wide. We are asked to find the height of the box.

We will surface area of cuboid formula to solve for the height of the box.

`SA=2(lh)+2(hw)+2(wl)`, where,

h = Height,

l = Length,

w = width.

Upon substituting our given values in surface area formula, we will get:

`1781.7=2(26.5\cdot h)+2(h\cdot9.3)+2(9.3\cdot26.5)`

`1781.7=71.6h+492.9`

`71.6h+492.9=1781.7`

`71.6h+492.9-492.9=1781.7-492.9`

`71.6h=1288.8`

`(71.6h)/(71.6)=(1288.8)/(71.6)`

`h=18`

Therefore, the height of the box is 18 inches.

Answer 2

18 inches.

Explanation:

The surface area of cuboid = 2 (l×b + b×h + h×l)

Here, l is the length , b is the breadth and h is the height of the box.

The surface area of the box is = 1,781.7 inches

The length of box = 26.5 inches

The breadth of the box = 9.3 inches.

To find the height of the box, put these values in the formula given above:

1,781.7 = 2 ( 26.5 × 9.3 + 9.3 × h + 26.5 × h)

1,781.7 = 2 ( 246.45 + 9.3 h + 26.5 h)

1,781.7 = 492.9 + 71.6 h

71.6 h = 1288.8

h = 1288.8 / 71.6

h = 18 inches.

Thus, the height of the box is 18 inches.