Can anyone help me in this whole math question? Especially Number b and c. Thanks.

Mathematics

1 answer:

Bogdan [553]3 years ago

5 0

Answer:

Irregular polygons are polygons that do not have equal sides or equal angles. When finding the area of an irregular polygon, partition the polygon into smaller regular polygon shapes. You can then plug those measurements into their respective area formulas and multiply to find the area of one part of the shape.

This is 16cm.

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1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid

My name is Ann [436]

9514 1404 393

Answer:

a) V = 4w²h

b) SA = 4w² +10wh

c) SA = 4w² +37.5/w

d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

V = LWH

base area = LW

lateral area = H(2(L+W))

a) The length is 4 times the width, so the volume is ...

V = (4w)(w)(h)

V = 4w²h

b) The total surface area is the sum of the base area and the lateral area:

SA = base area + lateral area

SA = (4w)(w) + 2h(4w +w)

SA = 4w² +10wh

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

15 = 4w²h

h = 15/(4w²)

Then the surface area is ...

SA = 4w² +10w(15/(4w²))

SA = 4w² +37.5/w

d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

C = 10(4w²) +6(37.5/w)

C = 40w² +225/w

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Answer:

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