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denis23 [38]
3 years ago
12

A rectangular prism has a volume of 864 cubic units. How many cubic unit will fill the volume of the solid if they were packed w

ithout any gaps or overlaps
Mathematics
1 answer:
Fofino [41]3 years ago
4 0

Answer: 864.

Step-by-step explanation:

The volume of a rectangular prism has a volume equal to:

V = W*L*H

W = width

L = length

H = height

We know that the volume is equal to 864 cubic units.

This means that if we want to fill the prism such that there is no gap or overlap, we should use exactly 864 unit cubes.

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D

Step-by-step explanation:

D represents absolute value, and this is what you use to find the answer to this equation.

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Find the sum of <br> 2x^2- 8x– 6 and 9x^2-8
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11x^2-8x-14

Step-by-step explanation:

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I will give brainliest to whoever answers first<br><br> Which of the following wanted high tariffs?
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Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50
Vladimir [108]

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or \frac{5}{6} hours from Detroit to Ann Arbor.

By the formula,

Speed = \frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}

Speed = \frac{40}{\frac{5}{6}}

           = 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = \frac{d}{t}

d = 48t

7 0
3 years ago
Honors Geometry QUiz- Please Help
viktelen [127]

Answer:

QUESTION 2:

The area of the polygon is 21.5 units²

QUESTION 3:

The area of the combined figure is 12 + 18.25·π units²

QUESTION 4:

The area of the figure is 40 units²

QUESTION 5

The area of the compost shape is 40 in.²

Step-by-step explanation:

QUESTION 2.

The area of the polygon is given as follows;

The area of two triangles + The area of trapezoid

1/2×6×3 + 1/2×3×4 + 1/2×(6 + 7) = 21.5 units²

QUESTION 3

The diameter of the semicircle, 'd', is given as follows;

d = √(8² + 3²) = √73

The area of the semicircle = π·d²/4 = π·73/4 = 18.25·π unit²

The area of the right triangle beside the semicircle is given as follows;

1/2 × 8 × 3 = 12 unit²

The area of the combined figure = The area of the semicircle + The area of the right triangle

∴ The area of the combined figure = 12 + 18.25·π units²

QUESTION 4:

The dimensions of the parallelogram are;

Width, W = √(4² + 1²) = √(17)

Length, L = √(8² + 2²) = √(68)

The area of the parallelogram, A_R = W × L = √(17) × √(68) = √(17 × 68) = 34

The area of the parallelogram, A_R = 34 units²

The length of a parallel side, 'A', of the parallelogram is A = 6

The height of the parallelogram, is h = 1

The area of the parallelogram is A = B·h = 6 × 1 = 6 units²

The area of the figure is the sum of the area of the rectangle and the area of the parallelogram

Therefore, we have;

The area of the figure = 34 units² + 6 units² = 40 units²

QUESTION 5

The composite shape consists of a triangle and a rectangle

Therefore, we have;

The area of the rectangle = 5 in. × 7 in. = 35 in.²

The area of the triangle = 1/2 × 2 in. × 5 in. = 5 in.²

The area of the compost shape = The area of the rectangle + The area of the triangle

∴ The area of the compost shape = 35 in.² + 5 in.² = 40 in.²

The area of the compost shape = 40 in.².

5 0
3 years ago
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