roten123334
Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

What is the volume of the prism?



Enter your answer, as a mixed number in simplest form

What Is The Volume Of The Prism Enter Your Answer As A Mixed Number In Simplest Form class=

Sagot :

Answer:

40.625 cm^3

Step-by-step explanation:

(6 1/2) = 13/2

(2 1/2) = 5/2

13/2 * 5/2 * 5/2 = 325/8

325/8 = 40.625 cm^3

40.625 = 40 5/8 cm^3

Answer:

Volume = 40 5/8 cm³

Step-by-step explanation:

Given dimensions of cuboid:

  • Length: 2 1/2
  • Width: 2 1/2
  • Height: 6 1/2

Volume = Length × Width × Height

1. Substitute the length, width, and the height in the formula;

⇒ Volume = Length × Width × Height

⇒ Volume = 2 1/2 × 2 1/2 × 6 1/2

2. Convert the mixed fractions into improper fractions;

⇒ Volume = 2 1/2 × 2 1/2 × 6 1/2

⇒ Volume = [(2 × 2) + 1]/2 × [(2 × 2) + 1]/2 × [(6 × 2) + 1]/2

3. Simplify using PEMDAS;

⇒ Volume = [(4) + 1]/2 × [(4) + 1]/2 × [(12) + 1]/2

⇒ Volume = [5]/2 × [5]/2 × [13]/2

⇒ Volume = 5/2 × 5/2 × 13/2

4. Multiply the fractions;

⇒ Volume = 5/2 × 5/2 × 13/2

⇒ Volume = (5 × 5 × 13)/(2 × 2 × 2)

⇒ Volume = (325)/(8)

5. Convert the fraction into mixed fraction (As stated in question);

Subtract such number from 325 such that the number is divisible by 8.

⇒ Volume = (325)/(8)

⇒ Volume = [(325 - 5)/(8)] + 5/8                      [320/8 ⇒ Divisible by 8]

⇒ Volume = [(320)/(8)] + 5/8

⇒ Volume = 40 + 5/8

⇒ Volume = 40 5/8 cm³

Therefore, the volume of the cuboid is 40 5/8 cm³ (in mixed fraction).

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.