All categories

3 years ago

A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.

Mathematics

1 answer:

7nadin3 [17]3 years ago

8 0

Answer:

164.33 m^3

Step-by-step explanation:

Mathematically, we have the formula for the volume as;

V = A * h/3

V = 5.8 * 85/3

V = 164.33 m^3

You might be interested in

There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the

liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0

3 years ago

I will mark as brainest

daser333 [38]

subtract 3 from 23 and u will get 20 then divide 2 by 2 and 2 by 20

x= 10

8 0

3 years ago

Read 2 more answers

What is the MEDIAN of the data - (12, 8, 6, 12, 16, 12) *

Lena [83]

Answer:

the median of this data is 12

6 0

2 years ago

What is 2878 divided by 55

likoan [24]

Answer:

52.3272727...

the 27 at the end is repeating

8 0

3 years ago

Read 2 more answers

What is the length of AC? 3 ft 4 ft 9 ft 18 ft

iragen [17]

Answer: The length of AC is 18 ft.

Step-by-step explanation:

By the given diagram,

AM = MB and CN = NB

M and N are the mid points of the sides AB and CB respectively,

Thus, by the mid point theorem,

MN ║ AC,

By the alternative interior angle theorem,

∠BMN ≅ ∠BAC

∠BNM ≅ ∠BCA

Thus, by AA similarity postulate,

ΔBMN ≅ ΔBAC

By the property of similar triangles,

$\frac{BM}{BA}=\frac{MN}{AC}$

$\frac{BM}{BM+MA}=\frac{MN}{AC}$

$\frac{4}{4+4}=\frac{9}{AC}$

$\frac{4}{8}=\frac{9}{AC}$

$4AC=72\implies AC = 18\text{ ft}$

Thus, The length of AC is 18 ft.

5 0

3 years ago

Read 2 more answers

A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.​

A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.