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2 years ago

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The berry-picking boxes at Bingo Berry Farm have square bottoms that are 8 centimeters on each side. Todd fills his box with ras

pberries to a height of 6 centimeters. What is the volume of raspberries in Todd's box?

1 answer:

Ugo [173]2 years ago

7 0

To find volume of a rectangular prism, do width * length * height

For Todd, 8cm * 8cm * 6cm = 288cm^3

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The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

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30 points !!!!!!!!Solve the following problem. Show ALL steps to receive full credit.

Aleksandr [31]

7x - 8 = 8 + 3x
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