All categories

3 years ago

Consider the figure composed of two rectangular prisms. What is the volume of this figure in cubic inches .

Mathematics

1 answer:

vovangra [49]3 years ago

4 0

Answer:

256 in³

Step-by-step explanation:

The volume of each prism is the product of length, width, and height.

The top prism has a volume of ...

v1 = (2 in)(6 in)(8 in)

The bottom prism has a volume of ...

v2 = (2 in)(10 in)(8 in)

Together, the volume totals ...

v = v1 +v2 = (2 in)(6 in)(8 in) +(2 in)(10 in)(8 in) = (2 in)(8 in)(6 in + 10 in)

= (16 in²)(16 in) = 256 in³ . . . total volume

You might be interested in

(WILL GIVE BRAINLIEST) Describe how you would simplify the given expression.

Vinil7 [7]

Answer:

Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.

Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.

aniked [119]

Answer:

r(t) = 75 kg - (4.5 kg/wk)w

Step-by-step explanation:

Let r(t) represent the amount of rice remaining after w weeks.

Then:

r(t) = 75 kg - (4.5 kg/wk)w

please mark as brainliest

3 0

3 years ago

A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly selected. The random varia

kumpel [21]

Answer:

The value of n is 7.

Step-by-step explanation:

For each teen, there are only two possible outcomes. Either they buy soda at least once each week, or they do not. Since they were selected randomly, the teens are independent of each other, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In the binomial distribution, we have that n is the size of the sample. In this question, seven teens are randomly selected, which means that the value of n is 7.

7 0

3 years ago

A prism has a square base with a side length of 4 1 2 4 1 2 feet. The height of the prism is 6 feet. What is the volume of the p

dusya [7]

We have been given that a prism has a square base with a side length of 4 1/2 feet. The height of the prism is 6 feet. We are asked to find the volume of the prism.

We know that volume of prism is base area times height.

$\text{Area of base}=\text{Area of square}=\text{Side length}^2$