Solve - x/6 less than or equal to 3
2 answers:
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*see attachment for the possible choice answers showing the boxes and dimensions
Answer:
Box D = 27 ft³
Step-by-step explanation:
To find out which has the greatest volume, we need to calculate the volume of each box given in the option using the formula of the volume of a rectangular prism = w × h × l.
Where w = width; h = height; and l = length.
Thus, the volume for the boxes are as follows:
=>Box A:
V = w × h × l
V = 3 × 1 × 5
V = 15 ft³
=>Box B:
V = w × h × l
V = 2 × 3 × 4
V = 24 ft³
=>Box C:
V = w × h × l
V = 1 × 2 × 7
V = 14 ft³
=>Box D:
V = w × h × l
V = 3 × 3× 3
V = 27 ft³
The shipping box with the largest volume is box D with a volume of 27 ft³
The information provided is that you have smaller cubes that measure 1 cm on either of the three sides. In order words if you lie each cube side by side you would have the length/width/height of the indicate sides.
For a cube made up of 27 smaller cubes, you can determine the length of each side by factoring the entire size provided. That means for a cube made up of 27 smaller cubes you would have;
This means you would have 3 smaller cubes on the length, 3 smaller cubes on the width and 3 smaller cubes on the height.
Therefore, if you now have 150 of the smaller cubes, by factoring this you would have the following possibility;
This means you would have one side (length) 6 cubes, on another side (width) 5 cubes and on the third side (height) 5 cubes.
That means with 150 smaller cubes you could make a cube with the dimensions,
ANSWER:
The largest big cube you could make would be a 6 cm by 5 cm by 5cm big cube