Math 2 questions
posted by anonymous on .
A rectangular prism has a width of 92 ft and a volume of 240 ft3. Find the volume of a similar prism with a width of 23 ft.
Round to the nearest tenth, if necessary.
3.8 ft3
60 ft3
15 ft3
10.4 ft3
A pyramid has a height of 5 in. and a surface area of 90 in2. Find the surface area of a similar
pyramid with a height of 10 in. Round to the nearest tenth, if necessary.
360 in.2
180 in.2
22.5 in.2
3.6 in.2

any1?

volume of 2 similar solids is proportional to the cube of their corresponding sides, so
x/240 = 23^3/92^3 = (23/92)^3 = (1/4)^3 = 1/64
64x = 240
x = 3.75
the new volume is 3.75 ft^3
If I told you that the surface area of 2 similar solids is proportional to the square of their corresponding sides, can you set it up like I just did ?
let me know what you got.