MATHEMATICS MIDDLE SCHOOL

Each cube inside the rectangular prism has no edge length of 3/4 inch what is the volume of the rectangular prism

Answers

Answer 1

Answer:

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Answer 2

Answer:

Answer:

Answer: Volume = 81 cubic inches

Step-by-step explanation:

Given that each cube has length = 3/4 inches

The height H = 3/4 × 8 = 6 inches

Where 8 = number of cubes

The length L = 3/4 × 6 = 4.5 inches

Where 6 = number of cubes

The width W = 3/4 × 4 = 3 inches

Where 3 = number of cubes

The volume V = L × W × H

Substitute all the parameters into the formula

V = 4.5 × 3 × 6 = 81 cubic inches

Therefore, the volume of the rectangular prism is 81 cubic inches

Step-by-step explanation:

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Two sides of an isosceles triangle measure 3 inches and 13 inches respectively. Find the length of the third side. Explain your reasoning.

Answers

Because the triangle is isosceles, two sides have the same length.

So, the triangle may have sides 3, 3, 13 OR 3, 13, 13

The triangle inequality theorem states that one side of a triangle is less than the sum of the other two.

3, 3, 13 cannot be the sides of any triangle because 13 is not less than 3 + 3 which is 6.

3, 13, 13 are the lengths of the triangle with 13 being the length of the third side.

An isosceles triangle is a triangle that has two sides of equal length. If the lengths of two sides of this isosceles triangle are 3 inches and 13 inches, then the third side would be a length of 13 inches.
This can be reasoned in that a base of 13 inches is too wide for two sides of 3 inches to meet and create a triangle, but a base of 3 inches would make a base small enough for two sides of 13 inches to meet and form an isosceles triangle.

Which terms in the expression are like terms? –b – bc + 0.1b – 6b Choose all answers that are correct. A. –b B. –bc C. 0.1b D. –6b

Answers

you can choose more than one? cause then its c and d

All of the terms are like terms except one. Because 3 of them include the variable b, so you can combine them to get a more simple expression.

Final answer: a, c, d

What is the slope of (6,8) (3,12)

Answers

slope=(y2-y1)/(x2-x1) when given the oints (x1,y1) and (x2,y2) we are given (6,8) and (3,12) x1=6 y1=8 x2=3 y2=12 slope=(12-8)/(3-6)=4/-3=-4/3 slope=-4/3 aka -1 and 1/3 -4/3 is slope

Slope is 4.5. equation is m=(y1-y2)/(x1-x2)

Please explain #2 for me please!
The question deals with proportions.

Answers

We claim that the ratio of the areas is (3/2)^3=27/8, not just for these lengths, but also for every possible set of side-lengths x, y, and z.

To find the volume of the area of the original suitcase, multiply together x, y, and z to get xyz. The modified suitcase will have all these dimensions multiplied by 1 1/2, or 3/2, for a result of 3x/2*3y/x*3z/2=27xyz/8. The ratio is (27xyz/8)/(xyz)=27/8, as desired.

Note that we made no assumptions about the value of x, y, and z throughout the whole solution! Therefore, we can plug ANY side-lengths, including the problem's set (28, 16, 8) into this problem to achieve the same ratio.

You backpacked for a distance of 15.75 miles today. If you backpacked at an average speed of 1.26 miles per hour, how many hours did you spend backpacking today

Answers

It would be 12.5. you would divide 15.75 by 1.26

Hi there! First, speed=Distance/time, and the time=distance/speed. The time spent for back packing was 15.75/1.26=12.5 hours. Therefore, the answer is 12.5 hours.

What fraction of 1 kiloliter is 1 liter?