All categories

3 years ago

What is the volume of the prism? *Do NOT round your answer.

Mathematics

2 answers:

natulia [17]3 years ago

7 0

Answer:

300 in³

Step-by-step explanation:

Hello There!

The prism shown is a rectangular prism

The formula for volume of a rectangular prism is

$Volume=lwh$

where l = length w = width h = height

so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula

$V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3$

Assoli18 [71]3 years ago

6 0

Answer:

the volume of the prism=length ×breadth ×height =10×5×6=300in³ 

You might be interested in

Solve this equation: |x-2|=6x+18

sineoko [7]

X-2=6x+18
-x -x
-2=5x+18
-18 -18
-20=5x
x=-4

5 0

2 years ago

PLEASE ANSWER ASAP!! WILL GIVE 50 POINTS! AND BRAINLIST!

levacccp [35]

$\frac{3}{5} - \frac{1}{4} = \frac{7}{20}$
then
$\frac{7}{20} \div \frac{7}{10} = \frac{1}{2}$

4 0

2 years ago

What is the answer for ( c )

Whitepunk [10]

Answer: 37

Step-by-step explanation:

7 0

2 years ago

Y= - x+2 Y=3x-4 Estimate the solution to the system of equations

IrinaVladis [17]

Answer:

$x=\frac{3}{2}\\ y=\frac{1}{2}$

Step-by-step explanation:

$y=-x+2\\y=3x-4$

Let's solve one of them for x.

$y=3x-4$

Add 4

$y+4=3x$

Divide by 3.

$x=\frac{y+4}{3}$

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

$x=\frac{y+4}{3}$

$x=\frac{(-x+2)+4}{3}$

$x=\frac{-x+2+4}{3}$

$x=\frac{-x+6}{3}$

Multiply by 3 to get rid of the denominator.

$3x=-x+6$

add x

$3x+x=6$

Combine like terms;

$4x=6$

Divide by 4.

$x=\frac{6}{4}$

Simplify.

$x=\frac{3}{2}$

Now that you found the value of x, replace it in any of the equations to find y.

$y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2$

$y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}$

Proof:

$y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4$

$\frac{1}{2}=\frac{9-4*2}{2}$

$\frac{1}{2}=\frac{9-8}{2}$

$\frac{1}{2}=\frac{1}{2}$

8 0

3 years ago

Christov and Mateus gave out candy to children on Halloween. They each have out candy at a constant rate, and they both gave awa

padilas [110]

Answer: 1) Both gave same number of candies to each child.

2) Christov gave candy to a greater number of children.

Step-by-step explanation:

Since, Christov initially had 300 pieces of candy, and after he was visited by 17 children, he had 249 pieces left.

Let he gave x candy to each student when he visited 17 children.

Then, 17 x + 249 = 300

⇒ 17 x = 51

⇒ x = 3

Since, he distributes candies in a constant speed.

Therefore, his speed of distribution = 3 candies per child

Now,The function that shows the remaining number of candies Mateus has after distributing candies to n children,

C(n)=270 - 3 n

Initially, n = 0

C(0) = 270

⇒ Mateus has initial number of candies = 270

When he gave candies to one child then remaining candies = 270 - 3 × 1 = 267

Thus, the candies, get by a child from Mateus = 270 - 267 = 3

Since, he distributes candies in a constant speed.

⇒ His speed of distribution = 3 candies per child

1) Therefore, Both Christov and Mateus have same speed of distribution.

2) Since, both have same seed.

⇒ The one who has greater number of candies will be distribute more.

⇒ Christov will give more candies.

8 0

3 years ago