All categories

2 years ago

The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.

Mathematics

1 answer:

REY [17]2 years ago

5 0

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

Method 1

From the figure, we can see that:

There are 6 cubes in the figure
The dimensions of the cubes are equal
The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

Volume = 6

Method 2

From the figure, we can see that:

There are 6 cubes in the figure
2 cubes at the top and 4 at the bottom
The dimensions of the cubes are equal
The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Top cubes + Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

You might be interested in

The value of which makes 2/3(1/4x-2)=1/5(4/3x-1)

sertanlavr [38]

Answer:

-34/3

Step-by-step explanation:

2/3(1/4x-2)=1/5(4/3x-1)

2/12x-4/3=4/15x-1/5

1/6x-4/3=4/15x-1/5

1/6x-4/15x=-1/5+4/3

-1/10x=-3/15+20/15

-1/10x=17/15

x=(17/15)/(-1/10)

x=(17/15)(-10/1)

x=-170/15

x=-34/3

7 0

3 years ago

A rectangle hasan area of 100 square yards and a perimeter of 58 yds. What is the length of the longer side of the rectangle?

Vinil7 [7]

Answer:

The longer side of the rectangle is 25 yards.

Step-by-step explanation:

The area of a rectangle, A = 100 square yards

The perimeter of a rectangle, P = 58 yards

We formula for area and perimeter of a rectangle is given by :

A = lb

and

P = 2(l+b)

ATQ,

lb = 100 ...(1)

2(l+b) = 58

(l+b) = 29 ....(2)

We need to solve equation (1) and (2).

l = 4, b = 25

So, the longer side of the rectangle is 25 yards.

3 0

3 years ago

The drama club is selling tickets to their play to raise money for the show's expenses.

FinnZ [79.3K]

Answer:

I believe it would be 37

4 0

3 years ago

PLEASE HELP I DO NOT UNDERSTAND AT ALL AND SHOW YOUR WORK !!

Agata [3.3K]

Answer:

y intercept (-6,0), x-intercept (0,-8) : $y = \frac{-4}{3}x -8$

y intercept (0,-6), x-intercept (-2,0): $y = -3x -6$

y intercept (0,8), x-intercept (1.6,0): $y = -5x + 8$

y intercept (0,7), x-intercept (-1.4,0): $y = 5x + 7$

Step-by-step explanation:

y = mx + b

*note: b is the y intercept

1. y intercept (-6,0), x-intercept (0,-8)

$m = \frac{-8 - 0}{0 - (-6)}= \frac{-8}{6} = \frac{-4}{3}\\y = \frac{-4}{3}x + b\\y = \frac{-4}{3}x -8$

2.y intercept (0,-6), x-intercept (-2,0)

$m = \frac{0 - (-6)}{-2 - 0} = \frac{6}{-2} = -3\\y = -3x + b \\y = -3x -6$

3. y intercept (0,8), x-intercept (1.6,0)

$m = \frac{0 - 8}{1.6 - 0}= \frac{-8}{1.6} = -5\\y = -5x + b\\y = -5x + 8$

4. y intercept (0,7), x-intercept (-1.4,0)

$m = \frac{0 - 7}{-1.4 - 0} = \frac{-7}{-1.4}= 5 \\y = 5x + b\\y = 5x + 7$

6 0

3 years ago

How does the circulatory system work at the tissue level? Please help!

soldi70 [24.7K]

Answer:

Blood cells carry nutrients

Step-by-step explanation:

blood cells carry oxygen and other nutrients with them and that's how things like oxygen are supplied to tissues

8 0

3 years ago