The volume v of a rectangular pyramid varies jointly as the area of the base b and the height h. v = 56 m3, when b = 24 m2 and h = 7 m. identify b when v = 81 m3 and h = 9 m.

B=27 m²

Step-by-step explanation:

Based on the information in the problem, if the volume V of a rectangular pyramid varies jointly as the area of the base B and the height h, you can write the following equation:

Where k is a constant.

You can calculate k as following:

When you solve for k you obtain:

Then, when V=81 m³ and h=9m m, B is:

B = 27 m² is the answer.

Step-by-step explanation:

Volume of a rectangular pyramid is = V

Area of the base is B and the height of pyramid is h.

We have to find the value of B

If V = 56 m³ then B was = 24 m²and h = 7 m

Now if V = 81 m³ and h = 9 m then from the formula of volume of a pyramid is V = 1/3(B×h) = 81 m³

81 = 1/3(B×9)

B = (81×3)/9 = 81/3 = 27 m

We know that 1/4 in represents 3 ft in the actual apartment.

For a mater bedroom:

L ( model ) = 1 in,  W ( model ) = 3/4 in.

1 : x = 1/4 : 3

1/4 x = 3

x = 3 : 1/4 = 12 ;  L = 12 ft

3/4 : y = 1/4 : 3

1/4 y = 9/4

y = 9/4 : 1/4 = 9;  W = 9 ft.

Finally : Area = L x W = 12 x 9 = 108 ft²

the actual area of the master bedroom is 108 ft².