The triangular prism has a triangular base with length 12cm and hieght 8cm.the hieght of the prism is 11cm. What is the surface area of the prism

Answers

Answer 1

Answer: surface area of triangular prism
has 2 bases with same area (both triangles)
3 rectangle sides that are height 11 and we need to find the other sides

we need the sides of the base to find the rectangles
12/2=6
pythagoren theorem
6^2+8^2=c^2
36+64=c^2
100=c^2
10=c
2 sides are 10

so

bases are 1/2 times 12 timm es8 times 2 since 2 bases=96

sides
height for all is 11
legnth is 12 for 1 and 10 for other 2
11*12+11*10+11*10=352

add
96+352=448

answer is 448cm^2

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You work part-time at the “Pack-it and Mail-it” that sells containers used for shipping items. Your photography teacher asks you to recommend the best package to ship 35 mm film containers. The film containers are 1 inch in diameter and 2 inches in height, and they are to be shipped in groups of twelve.A) Find the volume of twelve film containers. Round your result to two decimal places and show all calculations below.

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At work you get a list of package sizes. Your store has four box sizes that look like they might work. The sizes are given in the form l x w x h. They are 3 in. x 2 in. x 5 in., 4 in. x 3in. x 2 in., 5 in. x 6 in. x 5 in., and 3 in. x 2 in. x 3 in.

Answers

Answer:

(a)18.85 Cubic Inches

(b)The box with dimensions of 4 in. x 3in. x 2 in.

Step-by-step explanation:

Part A

Volume of the 12 Containers

Height =2 Inches

Diameter=1 Inch

Radius=Diameter/2=1/2=0.5 Inch

Volume of a cylinder $=\pi r^2 h$

Volume of the 12 Containers

$=12 X \pi r^2 h\n=12 X\pi X0.5^2X2\n=6\pi $ cubic inches\n=18.85 \text{cubic inches (to two decimal places)}$

Part B

To determine the container which should be used, we first determine the volume of the available boxes.

Volume of the boxes

Volume of box with dimension 3 in. x 2 in. x 5 in.=3X2X5=30 Cubic Inches

Volume of box with dimension 4 in. x 3in. x 2 in.=4X3X2=24 Cubic Inches

Volume of box with dimension 5 in. x 6 in. x 5 in.=5X6X5=150 Cubic Inches

Volume of box with dimension 3 in. x 2 in. x 3 in. =3X2X3=18 Cubic Inches

The box that should be used with the least amount of wasted space is he box with volume 24 Cubic inches. i.e. box with dimensions 4 in. x 3in. x 2 in.

This is because the volume of the box(18 cubic inches) with dimension 3 in. x 2 in. x 3 in. is less than what is required.

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Answers

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Answers

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Answers

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Answers

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