Ask question

Ask question

All categories

Salsk061 [2.6K]

2 years ago

11

Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cub

ic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

2 answers:

Zepler [3.9K]2 years ago

6 0

The Volume of Pyramid B is <u><em>222.6% bigger</em></u> than the volume of Pyramid A.

<em><u>Recall:</u></em>

The volume of a square pyramid is given as: $V = a^2\frac{h}{3}$

Where, a = base edge; h = height

<u><em>Thus:</em></u>

Given that Pyramid A has: a = 18 inches; h = 9 inches

Volume = $V = 18^2(\frac{9}{3})\\\\$

Volume of Pyramid A = 972 in.³

Volume of Pyramid B = 3,136 in.³

Difference in Volume of both pyramids = 3,136 in.³ - 972 in.³ = 2,164

This means that: $\frac{2,164}{972} \times 100 = 222.6 \%$ (Pyramid B is 222.6% bigger than Pyramid A)

Learn more about volume of pyramid here:

brainly.com/question/14332950

nordsb [41]2 years ago

4 0

Answer:

the volume if a square pyramid is V=a2 h/3 ( A = base edge, H = height)

The pyramid has 18 inch of base side length and 9 inches in height.

thus V = 182 (9/3)

V= 324(3)

V= 972

Volume of pyramid B: 3,136.

3,136 - 972 = 2,164

To find the percentage of these numbers, we must divide them into each other and then multiple them by 100.

2,164/ 972 x 100

2.22633744856 x 100

= 222.633744856

Pyramid A is 222.6% bigger than pyramid A

Step-by-step explanation:

You might be interested in

The area of a desk top is 8 ¾ square feet. If the length is 3 ½ft., find the width.

Allushta [10]

You would divide the total area by the length.
8 3/4 divided by 3 1/2
35/4 / 7/2
35/4 * 2/7 = 70/28 =2 1/2 ft

3 0

4 years ago

I am in need of assistance.

Alex_Xolod [135]

Answer:

A. x = 6.08, x = -0.58

Step-by-step explanation:

$\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}$

1. Factor the denominator.

$\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.

$\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

3. Simplify.

$\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

4. Combine like terms.

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}$

5. Multiply the right side of the equation by (x-4)/(x-4).

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )$

6. Simplify.

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}$

7. "Cancel" out the denominators because they are equivalent.

$2x^2-14x+5=-3x+12$

8. Set the equation equal to 0.

$2x^2-11x-7=0$

Quadratic formula:

$\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}$

9. Factor using the quadratic formula.

$\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}$

10. Multiply and simplify.

$\displaystyle x = \frac{11 \pm \sqrt{177} }{4}$

11. Plug this into your calculator and solve for x.

$x=6.07603367 \approx 6.08$
$x=-0.57603367 \approx -0.58$

The correct answer is A. x = 6.08, x = -0.58.

8 0

3 years ago

244 times 21/61 times 5/8

scoundrel [369]

The answer is 52.5 because you are suppose to multiply each number in pairs. First multiply 21/61 times 5/8.Then you will get 105/488. Multiply 105/488 times 244/1 which equals 25,620/488. Simplify to the lowest form which equals 6,405/122. Divide 6,405 divided by 122. The answer will be 52.5. That is how you will get the answer.

6 0

3 years ago

What is the percent of change in 6 yards to 36 yards

BaLLatris [955]

Answer:

The percent of change in 6 yards to 36 yards is 500% .

Step-by-step explanation:

Formula

$Percentage = \frac{Change\ in\ value\times 100}{initial\ value}$

Where

Change in value = Final value - initial value

As given

The percent of change in 6 yards to 36 yards.

Final value = 36 yards

initial value = 6 yards

Change in value = 36 - 6

= 30 yards

Put in the formula

$Percentage = \frac{30\times 100}{6}$

$Percentage = \frac{3000}{6}$

Percentage = 500%

Therefore the percent of change in 6 yards to 36 yards is 500% .

3 0

4 years ago

Read 2 more answers

Convert.<br>5 days =<br>lao<br>hours

Andreas93 [3]

Answer:

120 Hours

Step-by-step explanation:

24 hours in a day

5 days

24 x 5 = 120

8 0

3 years ago