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2 years ago

A block in the shape of a cube has sides that are 2 over 1\2 inches long. what is the volume of the block????

1 answer:

5 0

A cube has equal sides if they are 2÷ 1/2 each then L×W×H would be (2÷ 1/2)^3. To divide fractions we multiply the reciprocal.

2÷ 1/2 = 2/1 × 2/1 = 4

4×4 = 16×4= 64

answer is V = 64 inches cubed.

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Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

How do you do it please and thank you?

anygoal [31]

1) factor to see if you can get anything to cancel out before you multiply
2) the rest of my work is shown in the picture attached
3) the answer is n^2

4 0

3 years ago

Ben makes $39,600 a year. What is the maximum amount he can afford for a'

Olin [163]

Answer:

B:825

Step-by-step explanation:

Hopes this helps:)

3 0

3 years ago

If y = 2x2 – 4x, what is the value of y when x equals 5. A.10 B.30 C.80 D.480

Ainat [17]

Answer:

The value of y in the given equation is B. 30.

Step-by-step explanation:

y = 2x² - 4x x = 5

y = 2(5)² - 4(5) Plug 5 in for x

y = 2(25) - 20 Square 5 and multiply 4 by 5

y = 50 - 20 Multiply 2 by 25

y = 30

Hope this helps,

❤A.W.E.S.W.A.N.❤

6 0

3 years ago

What are the values for matrix A?: 1 2 3 4 1 3 4 5 6 7 8 Noo 4 1 0 0 9 6 7 8 10 12 14 15 16 13 14 14 15 16

Gala2k [10]

Since the values are the same on both sides the matrix value is a=1

7 0

3 years ago