Mathematics , 03.07.2019 17:00 kyleataylor2005

Talia is packing a moving box. she has a square-framed poster with an area of 9 square feet. the cube-shaped box has a volume of 30 cubic feet. will the posture lie flat in the box?

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Answer from: edjiejwi

We calculate for the dimensions (the length of the sides) of both the poster and the cube. If the length of the side of the poster is shorter compared to that of the box then, the poster will lie flat in the cube. However, if the poster has a length that is longer than that of the cube then, it will not lie flat in the cube.

length of the poster = sqrt (9 ft^2) = 3 ft
length of the cube = cbrt (30 ft^3) = 3.11 ft

Since, the length of the cube is longer compared to the length of the poster then, the poster will lie flat on the cube.

Answer from: nixki333

Yes, the posture will be lie flat in the box.

Step-by-step explanation:

since we have given that

Area of square framed poster = 9 sq. feet

Volume of cube shaped box = 30 cubic feet.

As we know the formula for "volume of cube":

So, Area of cube shaped box would be

Since the cube box is large enough so that the posture will lie flat in the box.

Answer from: burritomadness

i think No beacuse 9 times 3 is 27 so there is going to be 3 extra

Answer from: epicriderexe

Since the box is cube-shaped, its volume is V = 30 ft^2 = s^3, where s is the length of one side. Then s = ∛30, or approx. 3.11 ft. The length of one side of the 9 ft^2 square poster is √9, or 3 ft. Yes, the 3 ft^2 poster will fit the box, whose bottom area is 3.11 ft^2.

Answer from: 406462

Yes, the poster lie flat in the box.

Step-by-step explanation:

Consider the provided information.

Talia is packing a moving box. She has a square-framed poster with an area of 9 square feet.

The area of square = (side)²

Thus, the side of the poster frame is:

9 = (side)²

√9 = side

side = 3

Take positive value as side should be a positive number.

The side of the poster frame is 3 feet.

The cube-shaped box has a volume of 30 cubic feet.

Volume of cube = (side)³

Thus, the side of cube-shaped box is:

30 = (side)³

∛30 = side

side ≈ 3.12

The side of cube-shaped box 3.12 feet.

3.12 feet is greater than 3 feet. That means the side of the cube shaped box is greater than side of the poster frame.

Hence, the poster lie flat in the box.

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