The volumes of two similar prisms are 512 ft³ and 8000 ft³. Find the ratio of their heights.
1 answer:
Answer:
Ratio of their heights is 8 ft and 20 ft.
Step-by-step explanation:
It is given the volumes of similar prisms are 512 ft^3 and 8000 ft^3,
Please remember the concept if two shapes are similar and their sides are in the ratio a:b
Then their area is in the ratio of
And their volume is in the ratio of
So, if we take cube root of the given volumes it would give us the ratio of heights.
So, ratio of heights of similar shapes =
Simplify them.
So, ratio of heights =8 : 20
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Answer:
x equals five thirteenths
Step-by-step explanation:
To solve this, we will follow the steps below;
× x +
= 4 × x
+
= 4x
= 4x
Multiply both-side of the equation by 4
× 4= 4x × 4
On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;
3x + 5 = 16x
subtract 3x from both-side of the equation
16x - 3x = 5
13x = 5
Divide both-side of the equation by 13
=
(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)
x =
x equals five thirteenths