Question

The surface area of a rectangular prism is 442 square feet. The length is 11 feet, and the height is 8 feet. What is the width of the prism?

Answer 1

Surface area of rectangular prism= 2(hl + bl+ hb)
According to question
h= 8 feet. l=11 feet B=? Surface area=442 square feet
Put these value in formula we get
442=2(88+11b+8b)
221=(88+19b)
133=19b
& B=133/19
B=7 feet

Answer 2

✬ Width = 7 feet ✬

Step-by-step explanation:

Given:

• Surface area of rectangular prism is 442 ft².
• Measure of length is 12 feet.
• Measure of height is 8 feet.

To Find:

• What is the width of prism ?

Solution: Let the measure of breadth of prism be b feet.

Since, the rectangular prism is in the form of a cuboid so we will use the formula for TSA of cuboid.

★ TSA of Cuboid = 2(lb + bh + hl) ★

A/1

• tsa = 442 sq ft.

$\implies{\rm }$ 2(lb + bh + hl) = 442

$\implies{\rm }$ 2(11 $\times$ b + b $\times$ 8 + 8 $\times$ 11) = 442

$\implies{\rm }$ 2(11b + 8b + 88) = 442

$\implies{\rm }$ 2(19b + 88) = 442

$\implies{\rm }$ 38b + 176 = 442

$\implies{\rm }$ 38b = 442 – 176

$\implies{\rm }$ 38b = 266

$\implies{\rm }$ b = 266/38

$\implies{\rm }$ b = 7 feet

Hence, the meaure of width of rectangular prism is 7 feet.