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lisov135 [29]
3 years ago
11

Brianna is going camping this weekend, and needs to find the amount of space inside her tent.   A triangular prism. 2 rectangula

r sides are 8 feet by 5 feet, and 1 side is 8 feet by 6 feet. The 2 triangular sides have a base of 6 feet and height of 4 feet. Find the volume of the tent and complete the statements.
Mathematics
2 answers:
Vika [28.1K]3 years ago
5 0

Answer:

v=Bh

triangle

96

Step-by-step explanation:

WARRIOR [948]3 years ago
3 0

Answer:

Step-by-step explanation:

We want to find the volume of the tent.

The tent is in the shape of triangular prism.

The tent is compose of two solid shapes

1. A rectangular prism

2. Triangular prism

The volume of the rectangular prisms

V = length × Breadth × Height

The parameters are

One of the rectangle is 8 by 5ft and the other side is 8 by 6ft. Then, the height of the rectangular prism is the common value of 8ft.

Length = 6ft, Breadth = 5ft and Height = 8ft

Then, the volume is

V_1 = 6 × 5 × 8

V_1 = 240ft³

The volume of the triangular prism

V_2 = base area × height

The parameters of the triangular prism

The base is a rectangular base 5 by 6ft.

The height of the triangular prism is 4ft

Then, the volume is

V_2 = 5 × 6 × 4 = 120ft³

Then, the total volume of the prism

V = 240 + 120 = 360ft³

The total volume of the tent is 360ft³.

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Ghella [55]

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7 0
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Read 2 more answers
A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the val
ivann1987 [24]

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

\longrightarrow l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

\rm \implies 2(Length + Width) = 78 \\  \\  \rm \implies 2(2w + 3 + w) = 78 \\  \\  \rm \implies 2(3w + 3) = 78 \\  \\  \rm \implies 2 \times 3(w + 1) = 78 \\  \\  \rm \implies 6(w + 1) = 78 \\  \\  \rm \implies w + 1 =  \dfrac{78}{6}  \\  \\  \rm \implies w + 1 = 13 \\  \\  \rm \implies w = 13 - 1 \\  \\  \rm \implies w = 12 \: ft

\therefore Width of the rectangle (w) = 12 ft

3 0
3 years ago
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