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will crown brainliest Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds two layers with 15 cubes in each layer. What is the volume of the box awnsers 5cubic inches, 7 1/2 cubic inches,3 3/4 cubic inches, 15 cubic inches

Respuesta :

Answer:

Option C, [tex]3\frac{3}{4}[/tex] inches³

Step-by-step explanation:

Stephanie puts 30 cubes in a box.

Cubes are 0.5 inch on each side.

The box holds two layers with 15 cubes in each layer

Since side of a cube is 0.5 inch so volume of one cube = (0.5)³

                                                                                           = 0.125 inch³

Volume of 30 cubes = 30 × 0.125 = 3.75 inch³

Since box contains 30 cubes

so volume of the box = volume of 30 cubes.

                                   = 3.75 inch³ ≈ [tex]3\frac{3}{4}[/tex] inches³

Option C, [tex]3\frac{3}{4}[/tex] inches³ is the answer.

fichoh

The volume of the box in question is

[tex]3 \frac{3}{4} {in}^{3} [/tex]

Number of cubes in the box = 30

Side length, a, of each cube = 0.5

Recall :

Volume of a cube = a³

  • Hence, volume of each cube in the box = 0.5³ = 0.125 in³

  • The volume of the box = volume of each cube × Number of cubes

  • [tex]( \frac{1}{8} \times 30) = \frac{30}{8} = 3 \frac{3}{4} \: {in}^{3} [/tex]

Hence, the volume of the box is

[tex]3 \frac{3}{4} {in}^{3} [/tex]

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