Answered

Pinadadali ng Imhr.ca ang paghahanap ng mga solusyon sa mga pang-araw-araw at masalimuot na katanungan. Tuklasin ang aming Q&A platform upang makahanap ng malalim na sagot mula sa isang malawak na hanay ng mga eksperto sa iba't ibang larangan. Tuklasin ang komprehensibong mga solusyon sa iyong mga tanong mula sa mga bihasang propesyonal sa iba't ibang larangan sa aming platform.

The ratio of the volumes of two similar rectangular prisms is 125 : 64. What is the ratio of
their base areas?
a. 25:16 c. 4:5
b. 25:4 d. 5:4

Sagot :

misspancitcanton

Answer:

a. ‌25:16‌

The ratio of their base areas is ‌25:16‌.

Step-by-step explanation:

Finding the Ratio of the Base Areas of Similar Rectangular Prism

We know that the formula in finding the volume of a rectangular prism is area of the base times height.

To get the area of the base, it is length times width.

Therefore, volume of a rectangular prism becomes length times width times height.

Based on its formula, we can tell that ratio of the volume of a three sided figure is the ratio of their corresponding sides cubed.

Going back to the problem above, the ratio of their volumes is ‌125:64‌, to find the ratio of their corresponding sides we need to take the cube root.

∛125 = 5

∛64 = 4

Therefore, the ratio of their corresponding sides is 5:4.

Since the base area is equal to length times width, we need to square the ratio.

5² = 25

4² = 16

The ratio of the base areas is 25:16.

To know more about rectangular prism, visit the links.

What is a rectangular prism?

https://brainly.ph/question/107560

Surface area and volume of a rectangular prism:

https://brainly.ph/question/2305063

https://brainly.ph/question/2739876

#LetsStudy

Umaasa kaming nahanap mo ang hinahanap mo. Huwag mag-atubiling bumalik sa amin para sa higit pang mga sagot at napapanahong impormasyon. Umaasa kaming naging kapaki-pakinabang ang aming mga sagot. Bumalik anumang oras para sa higit pang tumpak na mga sagot at napapanahong impormasyon. Imhr.ca, ang iyong pinagkakatiwalaang site para sa mga sagot. Huwag kalimutang bumalik para sa higit pang impormasyon.