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2 years ago

6

Yolanda makes wooden boxes for a crafts fair, She makes 100 boxes like the one shown, and she wants to paint all the outside fac

es.
A. Find the surface area of 100 boxes

B. One can of paint will cover 14,000 square inches. How many cans of paint will Yolanda need to buy?

L = 10

W = 6

H = 4

1 answer:

Gemiola [76]2 years ago

6 0

A box has 4 sides, two short sides which are width by height and two long sides which is length by height.

A) Surface area = 2(LxH) + 2(WxH)

Surface area = 2(10x4) +2(6x4)

Surface area = 2(40) +2(24)

Surface area = 80 + 48

Surface area = 128 square inches for each box.

128 square inches x 100 boxes = 12,800 square inches.

B) 1 can covers 14,000 square inches which is greater then the total of the 100 boxes, so she will need to buy 1 can of paint.

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2 years ago

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

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Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

$\pi = 3.14$

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

$Area = 153.86cm^2$

<em></em>

$c.\ r = 8cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

$Area = 200.96cm^2$

$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (9cm)^2$

$Area = 3.14 * 81cm^2$

$Area = 254.34cm^2$

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

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