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Geometry Review
Question 11 of 15 (1 point) । Question Attempt: 2 of 3
Incorrect
Your answer is incorrect.
The large solid below is made from small cubes. Each has a side length of 
(1)/(5)ft.
Answer the questions below. Write your answers in simplest form.
(a) How many small cubes is the large solid made of?
20
(b) What is the volume of one of the small cubes? 
quad(1)/(125)ft^(3)
(c) What is the volume of the large solid?

ft^(3)
Check
Sav
(9) 2024 McGraw Hill LLC. All Rights Reserved.

Cicver | Portal\newlineALEKS - Robert Degregorio - Ge\newlineWwW-awu.aleks.com/alekscgi/x/lsl.exe/1010_u-IgNsikr77jaP33jH-LJdg88PfkL_o66A953953G22dJBSB22r99NwotMqMZhozR44YwaDdTp99fASnZc66..\newlineblountk1212.org bookmarks\newlineNastrille\newlinePredators\newlineare\newlinethe\newlinebest\newlineteam\newlinein\newlinethe\newlineNHt\newlineGeometry Review\newlineQuestion 1111 of 1515 (11 point) । Question Attempt: 22 of 33\newlineIncorrect\newlineYour answer is incorrect.\newlineThe large solid below is made from small cubes. Each has a side length of 15ft \frac{1}{5} \mathrm{ft} .\newlineAnswer the questions below. Write your answers in simplest form.\newline(a) How many small cubes is the large solid made of?\newline2020\newline(b) What is the volume of one of the small cubes? 1125ft3 \quad \frac{1}{125} \mathrm{ft}^{3} \newline(c) What is the volume of the large solid?\newlineft3 \mathrm{ft}^{3} \newlineCheck\newlineSav\newline(99) 20242024 McGraw Hill LLC. All Rights Reserved.

Full solution

Q. Cicver | Portal\newlineALEKS - Robert Degregorio - Ge\newlineWwW-awu.aleks.com/alekscgi/x/lsl.exe/1010_u-IgNsikr77jaP33jH-LJdg88PfkL_o66A953953G22dJBSB22r99NwotMqMZhozR44YwaDdTp99fASnZc66..\newlineblountk1212.org bookmarks\newlineNastrille\newlinePredators\newlineare\newlinethe\newlinebest\newlineteam\newlinein\newlinethe\newlineNHt\newlineGeometry Review\newlineQuestion 1111 of 1515 (11 point) । Question Attempt: 22 of 33\newlineIncorrect\newlineYour answer is incorrect.\newlineThe large solid below is made from small cubes. Each has a side length of 15ft \frac{1}{5} \mathrm{ft} .\newlineAnswer the questions below. Write your answers in simplest form.\newline(a) How many small cubes is the large solid made of?\newline2020\newline(b) What is the volume of one of the small cubes? 1125ft3 \quad \frac{1}{125} \mathrm{ft}^{3} \newline(c) What is the volume of the large solid?\newlineft3 \mathrm{ft}^{3} \newlineCheck\newlineSav\newline(99) 20242024 McGraw Hill LLC. All Rights Reserved.
  1. Count Small Cubes: First, we need to count the number of small cubes in the large solid. We know there are 2020 small cubes.
  2. Calculate Small Cube Volume: Next, we calculate the volume of one small cube. The side length is (1)/(5)(1)/(5) ft, so the volume is (1/5)×(1/5)×(1/5)=(1/125)(1/5) \times (1/5) \times (1/5) = (1/125) ft3^3.
  3. Find Large Solid Volume: Now, to find the volume of the large solid, we multiply the volume of one small cube by the total number of cubes. So, 20×(1125) ft320 \times \left(\frac{1}{125}\right) \text{ ft}^3.
  4. Calculate Total Volume: The calculation is 20×(1125)=20125 ft320 \times \left(\frac{1}{125}\right) = \frac{20}{125} \text{ ft}^3.
  5. Simplify Fraction: We simplify the fraction 20125\frac{20}{125} by dividing both the numerator and the denominator by 55. So, (205)/(1255)=425 ft3\left(\frac{20}{5}\right) / \left(\frac{125}{5}\right) = \frac{4}{25} \text{ ft}^3.

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