Question

Please show your work when answering questions :)

Answer 1

Answer: ~14,862,216

Explanation:

1: These are similar shapes. The ratio is 3.8:12.8 (note the bottom lengths). So the height of the arrow is 4.2*(12.8/3.8), or approximately 4.2*3.3 or 13.86.

2: 2*(12*13)+2*(11*13)+2*(12*11)=2*156+2*143+2*132=312+286+264=598+2+262=600+262=862

3: 6*6*6 or 6^3 or 216

Answer 2

1. 14.15 cm.

2.

A. 862cm^2 B. 216mm^2

Explanation:

1.

Since the side of similar triangles is proportional.

We have

Set the height of the arrow is h cm.

`(3.8)/(12.8)=(4.2)/(h)`

`h= (4.2*12.8)/(3.8)=14.147`

So the actual height is 14.15 cm.

2.

A.
Note:
The surface area of a cuboid is the total area of all the faces of the cuboid. A cuboid is a six-sided shape with rectangular faces. The surface area of a cuboid can be calculated using the following formula:

Surface area = 2lw + 2lh + 2wh

Where,

• l is the length of the cuboid
• w is the width of the cuboid
• h is the height of the cuboid

Here

l=12 cm

w=11 cm

h=13 cm

substituting value,

Surface area=2*12*11+2*12*13+2*11*13=862 cm^2

Therefore the Surface area is 862cm^2

B.

Note:

The surface area of a cube is the total area of all the faces of the cube. A cube is a six-sided shape with square faces. The surface area of a cube can be calculated using the following formula:

The surface area of the cube = 6a²

where a is the side of the cube.

Here,

a= 6mm

Now

substituting value,

The surface area of cube = 6*6^2=216mm^2