Question

Some information about the surface area and volume of two similar solids has been given fill in the missing value. ​

Answer 1

• 1216 yd³

Explanation:

Given

• Solid 1 | Solid 2
• Surface area = 1100 yd² | Surface area = 176 yd²
• Volume = 19000 yd³ | Volume = x
• Solids are similar

Let the scale factor be k, then

• Surface area is a product of 2 dimensions so the ratio of surface area of the solids would be k²
• Volume is the product of 3 dimensions so the ratio of volumes would be k³

Considering this we have:

• 1100 = 176*k²
• 19000 = x*k³

The value of x is

• x = 19000/k³

Finding the scale factor

• k= √1100/176 = 2.5

So the answer is

• x = 19000/2.5³ = 1216 yd³