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nataly862011 [7]
3 years ago
15

Zora has bag of potting

Mathematics
1 answer:
Xelga [282]3 years ago
6 0

The question is missing the figure which is attached below.

Answer:

The last box that has dimensions 8 in × 8 in × 10 in

Step-by-step explanation:

Given:

Volume of the soil = 924 cubic inches.

There are four different types of boxes that need to be checked whether they can accommodate all of the soil or not.

The volume of the box must be at least 924 cubic inches to accommodate all of the soil.

Now, volume of the first box is given as:

V_1=l\times b\times h=20\times 5\times 10=1000\ in^3>924\ in^3

Volume of the second box is given as:

V_2=l\times b\times h=10\times 10\times 10=1000\ in^3>924\ in^3

Volume of the third box is given as:

V_3=l\times b\times h=10\times 20\times 6=1200\ in^3>924\ in^3

Volume of the fourth box is given as:

V_4=l\times b\times h=8\times 8\times 10=640\ in^3

Therefore, only the volume of the fourth box is less than the total volume of the soil. So, last box is the correct option.

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