(You will get brainliest if you give a long answer) You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangular prism and half a cylinder. The front pocket is also a rectangular prims. Use the diagram to find the volume of your new backpack. Explain how you calculated the answer using complete sentences and proper grammar.

*see attachment for diagram

Volume of new backpack = 1,299.84 in.³

Step-by-step explanation:

Volume of the new back pack = volume of the front pocket + volume of the main section of the backpack

✔️Volume of the front pocket = volume of rectangular prism = L*W*H

L = 8 in.

W = 4 in.

H = 2 in.

Volume of the front pocket = 8*4*2 = 64 in.³

✔️Volume of the main section of the back pack = volume of the rectangular prism + volume of the half cylinder

= L*W*H + ½(πr²h)

L = 12 in.

W = 10 in.

H = 7 in.

r = 6 in.

h = 7 in.

Plug in the values into the equation

Volume of the main section of the backpack = 12*10*7 + ½(π*6²*7)

= 840 + ½(791.68)

= 1,235.84 in.³

✅Total volume of the new backpack = 64 + 1,235.84 = 1,299.84 in.³

more detail

step-by-step explanation:

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )