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3 years ago

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

Mathematics

2 answers:

liraira [26]3 years ago

7 0

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.

Nesterboy [21]3 years ago

5 0

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

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