Question

Two rectangular prisms each have a surface area of 600 square inches. What are the possible dimensions of the prism?

Answer 1

The area of a rectangular prism is 200 so I divided 600 by 3 and so the possible dimensions are 200 by 200 by 200.

Answer 2

Answer:

l = 10 inches, b = 5 inches ⇒ h = $\frac{50}{3}$ inches

Step-by-step explanation:

Two rectangular prisms each have  surface area of 600 square inches.

The surface area of rectangular prisms = 600 inches²

Formula of surface area of rectangular prism

⇒ 2 ( lb + bh + hl ) = 600

⇒ lb + bh + hl = 300

If l = b = h ⇒ 3l² = 300

                      l² = 100

                ⇒   l = 10 inches

Hence, dimension of the prism l = 10 inches,

If l = 10 inches, b = 5 inches ⇒ h = $\frac{50}{3}$ inches or 16.6666 inches