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pochemuha
3 years ago
10

tana fills the prism shown (3 1/4 and 4 inch) with 110 1/2 in squared of liquid what is the height of the prism

Mathematics
2 answers:
MrRa [10]3 years ago
7 0

Answer:

h=8\frac{1}{2}\text{ inch}

Step-by-step explanation:

Let h represent height of prism.

We have been given that Tana fills the prism with base lengths 3\frac{1}{4} inch and 4 inch with a 110\frac{1}{2}\text{ inch}^3.

We know that volume of prism is area of base times height, so we can set an equation as:

\text{Volume of prism}=\text{Base length}\times\text{Base width}\times \text{Height of prism}

110\frac{1}{2}\text{ inch}^3=3\frac{1}{4}\text{ inch}\times 4\text{ inch}\times h

\frac{221}{2}\text{ inch}^3=\frac{13}{4}\text{ inch}\times 4\text{ inch}\times h

\frac{221}{2}\text{ inch}^3=13\text{ inch}^2\times h

\frac{221}{2*13\text{ inch}^2}\text{ inch}^3=\frac{13\text{ inch}^2\times h}{13\text{ inch}^2}

\frac{221}{26}\text{ inch}=h

8\frac{13}{26}\text{ inch}=h

8\frac{1}{2}\text{ inch}=h

Therefore, the height of the prism is 8\frac{1}{2}\text{ inch}.

mixas84 [53]3 years ago
5 0
(X)(3.25)(4)= 110.5
4
(x)(3.25)= 27.625
3.25
x = 8.5
(8.5)(3.25)(4)= 110.5
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