All categories

1 year ago

Identify the volume of the composite figure rounded to the nearest tenth.

Mathematics

1 answer:

Verdich [7]1 year ago

6 0

Answer:

Step-by-step explanation:

The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.

The volume of the cube on the left is given by ...

V = s³

V = (4.2 ft)³ = 74.088 ft³

<h3>Pyramid</h3>

The volume of the pyramid on the right is given by ...

V = 1/3Bh . . . . . where B is the area of the square base

V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³

<h3>Total</h3>

The volume of the composite figure is the sum of these volumes:

cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³

The volume of the composite figure is about 115.2 ft³.

You might be interested in

Could someone clarrify this for me Factor completely 3x^2 + 2x − 1. (3x + 1)(x − 1) (3x + 1)(x + 1) (3x − 1)(x + 1) (3x − 1)(x −

valina [46]

Answer:

(3x-1) (x+1)

Step-by-step explanation:

3x^2 + 2x − 1

3x^2 factors into 3x and x

-1 factors into -1 and 1

We want a postive 2x

(3x-1) (x+1)

4 0

2 years ago

Read 2 more answers

The welding rate of a third robot is represented by the equation w = 10.8t, where w represents the number of welding tasks and t

GREYUIT [131]

Answer:

In some cases unemployment rates increase with the level of education of the ... not only provides skills for performing different vocational tasks, but also identifies and ... Similarly some- times model firm comparison methods are used to derive the ... The third step is the estimation of labour productivity by economic sector for

Step-by-step explanation:

6 0

2 years ago

Find the square root of the fraction . 64/100

Artyom0805 [142]

It would be 8/10 because you just take the square root of the denominator and the numerator

3 0

2 years ago

Which property would be used to show that the product of two rational is always rational

KatRina [158]

You multiply two rational numbers by multiplying numerators and denominators with each other. So, you have

$\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}$

A rational number is a fraction where both numerator and denominator are integers. Since the product of two integers is an integer, the result fraction is also a rational number, because both $ac$ and $bd$ are integers.

3 0

2 years ago

What's 5 + (7 x 8) divided by 3

Ganezh [65]

Answer:

23.6666666667

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers