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3 years ago

What is the volume of the shed?

Mathematics

2 answers:

choli [55]3 years ago

7 0

38m^3 after working it all out (took ages lol)

NemiM [27]3 years ago

3 0

Answer:

38 m^3

Step-by-step explanation:

The shape of the shed is a prism.

volume = area of base * height

The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.

area of base = area of rectangle + area of triangle

The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m

area of base = LW + (1/2)bh

area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)

area of base = 15 m^2 + 4 m^2

area of base = 19 m^2

height of prism = 2 m

volume = area of base * height

volume = 19 m^2 * 2 m

volume = 38 m^3

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Answer:

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Step-by-step explanation:

Start by finding the slope of this line.

If a slanting line goes through $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ , where $x_{0} \ne x_{1}$ , the slope of this line would be:

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The line in this question goes through $(5,\, 6)$ and $(3,\, 4)$ . Hence, the slope of this line would be:

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For the line in this question, the slope is $m = 1$ . Take $(5,\, 6)$ as the chosen point on this line. The point-slope form equation of this line would be:

$y - 6 = (x - 5)$ .

Rewrite to obtain the equation of this line in the slope-intercept form:

$y = x + 1$ .

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