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isaacf1890

Answer:

The first question is 699.

The second question is 82.875.

Step-by-step explanation:

To find the are of the floor, we would take the volume formula for the rectangular prism and do it reversed.

V = l*w*h

2,097 = l*w*3

Divied by 3

699 = l*w

Since the area of a floor is l*w, we have found the area of the floor already.

699 feet^2

8 1/2 is 8.5. 3 1/4 is 3.25 To find the volume of a rectangular prism, it is l*w*h

3*8.5*3.25 = 82.875

Ankit

Answer:

Area of floor= 699 sq ft

Volume of prism = 82 7/8 cubic ft.

Step-by-step explanation:

QUESTION 1

Given:

Volume of rectangular storage room = 2097 ft³

hieght of the storage room= 3ft

To find:

The area of rectangular floor = ?

Solution:

[tex]Volume \: of \: room = Area \: of \: floor \times height \: of \: room \\ 2097 = Area \: of \: floor \times 3 \\ Area \: of \: floor = \frac{2097}{3} \frac{ {ft}^{3} }{ft} \\ Area \: of \: floor = \cancel\frac{2097}{3} \cancel\frac{ {ft}^{3} }{ft} = 699 \: {ft}^{2} \\ \fbox{Area \: of \: floor = \: 699 \: sq.ft. }[/tex]

QUESTION 2

Given:

Length of rectangular prism l = 3 ft

width of rectangular prism w= 3 1/4 ft

Height of rectangular prism h= 8 1/2 ft

To find:

Volume of rectangular prism =?

Solution:

[tex]Volume \: of \: rectangular \: prism= l \times w \times h \\ Volume \: of \: rectangular \: prism = 3 \times (3 \frac{1}{4} ) \times (8 \frac{1}{2} ) \\ Volume \: of \: rectangular \: prism = 3 \times ( \frac{4 \times 3 + 1}{4} ) \times \frac{8 \times 2 + 1}{2} \\ Volume \: of \: rectangular \: prism = 3 \times \frac{13}{4} \times \frac{17}{2} \\ Volume \: of \: rectangular \: prism = \frac{663}{8} \\Volume \: of \: rectangular \: prism = 82 \frac{7}{8} \: cubic \: ft[/tex]

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