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PLEASE MAKE SURE YOU ANSWER CORRECTLY!! (Total score of 14 points)
Riley’s mother, Ms. Cooper, owns Cooper’s Storage and Shipping Company. Ms. Cooper took Riley with her to work for the day to show Riley the different jobs the company does.
1. Riley noticed an aquarium in his mother’s office. The aquarium has the dimensions 16 in. by 8.5 in. by 10.5 in.

(a) What was the volume of the aquarium in his mother’s office? Show your work. (2 pts correct answer, 1 pt showing work)



(b) Another aquarium in the building has dimensions that are each triple the dimensions (triple the length, triple the width, and triple the height) of the aquarium in Riley’s mother’s office. Riley thought that the volume would also triple. Is Riley correct? Show your work and explain your reasoning. (1 pt correct answer, 2 pts for showing work and explaining answer)

Respuesta :

Answer:

A. The volume is 1428

B. Yes, Riley is incorrect, the volume will not triple if the measurements are tripled.

Step-by-step explanation:

A. 16*8.5*10.5= 1428 (Volume of the aquarium)

B. The reason for that is :

  1. 16*3 = 48
  2. 8.5*3 = 25.5
  3. 10.5*3 = 31.5

If you multiply these numbers together you don't get the triple of the previous volume (1428).

In fact, you get 38556, which is more than triple of 1428.

Also, mark brainliest if you thought this helped! Thank you! :)

Answer:

a. 1428   b. no

Step-by-step explanation:

a. 16*8.5*10.5=4*17*21=84*17=1428.   16 is made into 4, and 2 is multiplied to 8.5 to get 17, and 2 is also multiplied into 10.5 to get 21. The multiplication part is easy.

b. using 4, 17, and 21, the new dimensions are 12, 51, and 63. Again, easy multiplication. The product, 38556, is 27 times greater than 1428.