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4 years ago

PLEASE HELP FASTT!!!! FOR BRAINLIEST!

Mathematics

2 answers:

vfiekz [6]4 years ago

6 0

Your answer is L = 11 cm.

If the volumes of both shapes are the same, then we can set them equal to each other and solve for L to find the answer.

The volume of a rectangular prism is base × height × depth, which comes to 5 × 6 × L = 30L

The volume of the trapezoid prism (the shape on the left) would be the area of the trapezoid on the front, multiplied by the depth. This gives you:

$\frac{7 + 4}{2}$ × 6 × 10 = 5.5 × 6 × 10 = 330

So now we get:

330 = 30L

÷ 30

L = 11

I hope this helps!

Korolek [52]4 years ago

6 0

Answer:

L = 11

Step-by-step explanation:

We are presented with a cuboid and a trapezoidal prism. Since we know that the two shapes have the same volume we should work out the volume of the trapezoidal prism to then guide us with working out the volume of the cuboid.

→ Let's first work out the volume of the trapezoidal prism

We should work out the area of the front face of the trapezium so we are going to utilise the formula $\frac{1}{2}$ × ( a + b ) × h

Where 'a' and 'b' are the parallel sides and 'h' is the height

Area = $\frac{1}{2}$ × ( 7 + 4 ) × 6

Area of the front face = 33 cm²

Now we multiply that length by the 10 so,

33 × 10 = 330

We can use that value to help us work out the missing value for the cuboid

5 × 6 × L = 330

→ Simplify

30 × L = 330

→ Divide both sides by 30 to isolate L

L = 11

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3 years ago

Help!! Please please answer quickly and in the next 9 hours! <br><br> Solve these questions.

lutik1710 [3]

Answer:

Please refer to step-by-step.

Step-by-step explanation:

Let's solve all of these one at a time.

15. -2x - y = -5

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To find the y-intercept, we need to equate the value of x to 0.

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To find the slope form, we can simply transpose the value of -2x to the other sides of the equal sign.

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Now we cannot have a negative value for the slope, we need to divide both sides by -1, leaving us with.

y = -2x + 5

16. 6x + 3y = -9

Let's start with the x-intercept.

6x + 3y = -9

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Now we solve for the y-intercept.

6x + 3y = -9

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Let's start with the x-intercept.

x - y = 4

x - 0 = 4

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Now we solve for the y-intercept.

x - y = 4

0 - y = 4

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3 years ago

Find the volume of the prism.

Taya2010 [7]

Answer:

210 cm^3

Step-by-step explanation:

The volume is given by

V = l*w*h

= 5 cm * 6 cm * 7 cm

= 210 cm^3

4 0

3 years ago

Read 2 more answers

I just can’t understand the question.

Marina86 [1]

With this question you can imagine that you have a 6 cm tall cylindrical container and you take a piece of paper that is 4 cm by 6 cm and wrap it around the cylinder, then take the sheet of paper off whilst maintaining its shape - the paper will form the shape of a cylinder (without a top and bottom) but the two dimensional shape enclosed would be a circle and the area of this circle is what the question is asking.

Now given that the cylinder is 6 cm tall you can assume that the width of the sheet of paper that you would be wrapping around it would also be 6 cm tall and thus the length of that paper would be 4 cm (we are given the dimensions of the sheet as 4 cm x 6 cm) - this length is equal to the circumference of the circle that forms the base of the cylinder:

C = 2πr
4 = 2πr
r = 2/π

Now that we know the radius of the circle we can find its area:

A = πr^2
A = π*(2/π)^2
= 4/π
= 1.27 cm^2 (to two decimal places)

Basically with these questions you should always try to imagine them in a practical situation, it makes it a lot easier in the long run.

7 0

4 years ago

Read 2 more answers