Question

PLEASE HELP CORRECT ANSWERS ONLY 20 POINTS

I have a prism with the dimension of 6cm by 12cm by 15 cm. Calculate the volume of the prism, and then give the dimensions of three different prisms that each have 1/3 of thr volume.
Prism 1
Prism 2
Prism 3

Answer 1

• Volume = 1080 cubic cm
• Prism 1 = 2 cm by 5 cm by 36 cm
• Prism 2 = 3 cm by 10 cm by 12 cm
• Prism 3 = 4 cm by 6 cm by 15 cm

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Step-by-step explanation:

To find the volume of the current prism, we multiply length width and height to get 6*12*15 = 1080

Take 1/3 of this to get (1/3)*1080 = 360

To find three different prisms where they have a volume of 360, we just need to think of ways to multiply to 360 using 3 numbers.

Here are some possibilities:

• 2 * 5 * 36 = 360
• 3 * 10 * 12 = 360
• 4 * 6 * 15 = 360
• 4 * 9 * 10 = 360
• 8 * 9 * 5 = 360

There are other possibilities as well, but you only need to pick three from that list. Or you can come up with other combos as well as long as the three numbers multiply to 360.

If we go with the first three rows for prisms 1, 2, and 3 in that exact order, then

• prism 1 has dimensions: 2 cm by 5 cm by 36 cm
• prism 2 has dimensions: 3 cm by 10 cm by 12 cm
• prism 3 has dimensions: 4 cm by 6 cm by 15 cm