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goblinko [34]
3 years ago
10

A cube has a lateral surface area of 64sq m find the total surface area of the cube

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Answer:

384 square meters.

Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

A x 6 = X

64 x 6 = X

384 = X

Thus, the area of the cube is 384 square meters.

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What is the area of a triangle for one of the legs being 3in and the hypotenuse being 9in
elena55 [62]

The area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches is 12.727 square inches

<em><u>Solution:</u></em>

Given that to find area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches

From given information,

Let "c" = hypotenuse = 9 inches

Let "a" = length of one of the leg of triangle = 3 inches

To find: area of triangle

<u><em>The area of triangle when hypotenuse and length of one side of triangle is given:</em></u>

A = \frac{1}{2} a \sqrt{c^2 - a^2}

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

Substituting the given values we get,

A = \frac{1}{2} \times 3 \times \sqrt{9^2 - 3^2}

A =\frac{1}{2} \times 3 \times \sqrt{81-9}\\\\A =\frac{1}{2} \times 3 \times \sqrt{72}\\\\A =\frac{1}{2} \times 3 \times 8.48528\\\\A = \frac{1}{2} \times 25.45584\\\\A = 12.727

Thus area of triangle is 12.727 square inches

5 0
3 years ago
What is the are of a triangle if the B=12 <br> and the H=4?
Anuta_ua [19.1K]
24 units because 12*4=48 and 48/2=24
6 0
3 years ago
Read 2 more answers
Find the surface area of the composite figure. Round to the nearest square centimeter
Goryan [66]

Answer:

Surface area = 726 cm²

None of the options is correct.

Step-by-step explanation:

Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)

✔️Surface area of cone = πr(r + l)

Where,

Radius (r) = 5 cm

Slant height (l) = √(10² + 5²) (Pythagorean theorem)

Slant height (l) = 11.2 cm

Plug in the values

= π*5(5 + 11.2)

= 254.5 cm²

✔️Surface area of the cylinder = 2πr(h + r)

r = 5 cm

h = 15 cm

Plug in the values into the formula

S.A = 2*π*5(15 + 5)

S.A = 628.3 cm²

✔️area of base of cone = πr²

r = 5 cm

Area = π*5² = 78.5 cm²

✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)

= 882.8 - 157

= 726 cm² (nearest square meter)

None of the options is correct.

7 0
3 years ago
One questions here! Please help! (:
Hatshy [7]
\cfrac{c^{-6}d^4}{c^{-16}d^{14}} = \cfrac{c^{16}d^4}{c^{6}d^{14}} = \cfrac{c^{10}}{d^{10}}
7 0
3 years ago
What is the horizontal distance between these two points (3,4) and (8,4)
Natasha_Volkova [10]

Answer:

5 units

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

 

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

 

Where

(x_1,y_1) = (3,4)

(x_2,y_2) = (8,4)

 

Replacing these values in the distance formula

D =\sqrt{(3-8)^2+(4-4)^2}

D =\sqrt{(-5)^2+(0)^2}

D =\sqrt{25}

D= 5

 

Hence the Distance is 5 units

7 0
4 years ago
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