Answer:
125/6
Step-by-step explanation:
So if these two have the same volume it is just the sense of plugging number in. Let’s first find the whole volume of cube a
Cube A : L x W x H
18 x 15 x 25
270 x 25
6750 inches cubed
now let’s find what we know of cube b
Cube B: L x W x H
18 x 18 x h
324 x h
Now we know that in order for the volumes to be the same, we have to find a number that when multiplied by 324 would give us 6750. We can do this by dividing the two numbers
6750 / 324
125/6
when we multiply
18 x 18 x (125 / 6)
We get a volume of 6750
lmk if this helps
The height of safe B is 20 inches.
The volume of a rectangular prism is the product of all its dimensions.
∴ The volume of a rectangular prism = height*width*length
We are given dimensions of two safes A and B, in the shape rectangular prism.
Denoting safe A with subscript 1, and the safe B with subscript, we get:
l₁ = 18 inches, w₁ = 15 inches, h₁ = 24 inches.
l₂ = 18 inches, w₂ = 18 inches, h₂ = h inches.
We are told that the volumes of the safe A and B are equal, so
The volume of safe A = The volume of safe B
or, 18*15*24 = 18*18*h
or, h = (18*15*24)/(18*18) = 20
∴ The height of safe B is 20 inches.
Learn more about the volume of figures at
https://brainly.com/question/11850851
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