Mathematics, 18.01.2020 10:31 izzyisawesome5232

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a shipping company sells two different types of cardboard boxes shaped as regular pyramids. the first box has a square base with side length 30 cm and height 45 cm. the second box has an octagonal base with a perimeter of 120 cm and a distance of 10 cm from the centre of the base to the midpoint of each side. the second box has a height of 35 cm. each box needs to be wrapped in brown paper for shipping. which box requires more paper, and by how much? express your answer in cm2

Answers: 3

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Answers

Answer from: aprilhaters

The first first box needs 600 cm^2 more brown paper for wrapping

Step-by-step explanation:

Given:

First box:

Square base

Length of the base side = 30 cm

Height of the pyramid = 45 cm

Second Box:

octagonal base

base perimeter = 120 cm

width = 10 cm

Height = 35 cm

To Find:

Which box requires more paper to wrap, and by how much?

Solution:

To Find the amount are brown paper needed to wrap, lets find the surface area of the pyramids

Step: Finding the surface area of the box 1

The First box is square pyramid:

= base square area + 4 x area of side triangle

Base square area:

Area of the square = side x side

= 30 x 30

=900 centimetre square

Area of triangle

= $\frac{1}{2} base \times height$

=> $\frac{1}{2} (30 \times 45)$

=> $\frac{1350}{2}$

=>675 centimetre square

Thus the total brown paper needed for wrapping the first box

= 900 + 675

= 1575 centimetre square--------------------------------(1)

Step 2: Finding the surface area of the box 2

The second box is octagonal pyramid:

= base octagonal area + 8 x area of side triangle

Base octagonal area:

Area of the base of the octagon = 8 x area of one triangle

area of one triangle = $\frac{1}{2} base \times height$

= $\frac{1}{2} 15 \times 10$

= $\frac{150}{2}$

=75 centimetre square

Area of the base of the octagon = 8 x 75 = 600 centimetre square

Area of the side triangles

= $\frac{1}{2} base \times height$

= $\frac{1}{2} (45 \times 15)$

= $\frac{675}{2}$

= 337.5 centimetre square

Thus the total surface of the octagonal pyramid is

= 600 +375

=975 centimetres square -------------------------------(2)

On comparing (1) and(2)

1575 -975 = 600

The first box requires 600 cm^2 more brown paper for wrapping

Answer from: Quest

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

Answer from: Quest

exa:

)

3+11

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.