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Luda [366]
3 years ago
6

Sarah received a gift in a rectangular box with a volume of 240 in3. If the base of the box was 20 in2, how tall was the box?

Mathematics
2 answers:
Murrr4er [49]3 years ago
8 0
V = l * w * h
240 = 20* h
divide both sides by 20
12 = h
height = 12 inches
Ket [755]3 years ago
5 0

Answer: 12 in.

Step-by-step explanation:

We know that the volume of a rectangular prism is given by :-

\text{Volume}=\text{Base area}\times \text{height}

Since, the volume of the rectangular box = 240\ in^3

The base area of the box = 20\ in^2

Let h be the height of the box.

Substitute these values in the above formula , we get

\text{240}=20\times h\\\\\Rightarrow\ h=\frac{240}{20}=12\ in.

Hence, the height of the box = 12 in.

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ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

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It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

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We take positive square root to get;

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4 3/4 divided by 1 1/6
ozzi

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Step-by-step explanation:

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=\frac{19}{2}\times \frac{3}{11}

\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}

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\mathrm{Multiply\:the\:numbers:}\:19\times \:3=57

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Step-by-step explanation:

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