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Radda [10]
2 years ago
14

Cube

Mathematics
1 answer:
rjkz [21]2 years ago
7 0

Answer:

Step-by-step explanation:

let side of cube=x

volume of cube=x³

x³=10.645

x=(10.645)^{\frac{1}{3} } \\x \approx 2.19979

or x≈2.2

a.

length of side of cube=2.2 cm

b.

length of wire used=3[4×2.2]=26.4 cm

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Through a regular hexagon whose base edge is 8cm and whose height ii 12cma hole in the shape of the right prism with ots end bei
guapka [62]

The total surface area of the remaining solid is 48(4+✓3) centimeters square.

<h3>How to calculate the surface area?</h3>

Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.

The formula for the total surface area will be:

= Total surface area=2(area of the base)+ parameter of base × height

where,

Height= 8cm

Parameter of base=12(2) = 24

Area of the base= 6×✓3/4×4² = 64✓3/4

The surface area of the remaining solid will be:

= 2(64✓3/4) + 24 × 8

= 2(64✓3/4 + 192

With the hole is a rhombus prism with the following parameters:

diagonal 1 = 6, diagonal 2 = 8, height = 12

The volume is:

V1 =0.5 × d1 × d2 × h

V1 = 0.5 × 6 × 8 × 12

V1 = 96

The dimensions of the hexagonal prism are:

Base edge (a) = 8

Height (h) = 12

The volume is

V2 = (3✓(3)/2)a²h

V2 = (3✓3)/2) × 8² × 12

V2 = 1152✓3

The remaining volume is

V = V2 -V1

V = 1152✓3 - 96

Learn more about the hexagonal prism on:

brainly.com/question/27127032

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2 years ago
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Answer: 5 multiples of 9

Step-by-step explanation:

First take the difference between 100 and 60.

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Then divide the difference by 9.

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Primero toma la diferencia entre 100 y 60.

100-60=40

Luego divide la diferencia entre 9.

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