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2 years ago

Find the height of the triangular pyramid when the volume is 318 square centimeters

Mathematics

1 answer:

yawa3891 [41]2 years ago

3 0

92729292 is that answer!!

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Simplify: 5x + 4 + 9x

Klio2033 [76]

The correct answer is; 14x +4

8 0

3 years ago

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15. The length of each edge of a regular tetrahedron,

grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35 $\mathrm{cm}^{3}$

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height= $\sqrt{\frac{2}{3}} a$

Where a= length of each edge

Slant height= $\sqrt{\frac{2}{3}} \times 8$

= $\sqrt{0.6667} \times 8$

= $0.8165 \times 8$ =6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron= $\frac{a^{3}}{6 \sqrt{2}}$

Substitute the value of a in above equation we get

Volume= $\frac{8^{5}}{6 \sqrt{2}}$

= $\frac{512}{6 \sqrt{2}}$

= $\frac{512}{6 \times 1.414}$

Volume= $512 / 8.484$ =60.35 $\mathrm{cm}^{3}$

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35 $\mathrm{cm}^{3}$

7 0

2 years ago

Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side

gizmo_the_mogwai [7]

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is $V=\dfrac{3}{4}\ yd^3$

Length of the cubic block is $a=\dfrac{1}{2}\ yd$

Volume of each cubic block is

$\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3$

Suppose, n blocks are required to measure the volume of Prism

$\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}$

Thus, 6 blocks are required to measure the volume of prism.

7 0

2 years ago

Does x+y=1 have an x-intercept of (1,0) and y intercept of (0,1)?

aivan3 [116]

Answer:

Yes

Step-by-step explanation:

To find the y intercept of this formula, you first need to convert it into slope intercept form.

x+y=1

y=-x+1

Here, the slope is negative 1 and the y intercept is (0,1). If you imagine the line with a slope of negative 1, it will indeed cross the x axis at (1,0). Hope this helps!

4 0

3 years ago

(5+3√2)² simplify the following<br>

madam [21]

Answer:

$(5+3\sqrt{2} )^{2} =43+30\sqrt{2}$

≈85.43

Step-by-step explanation:

apply the binomial theorem to the square

$=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}$

$=25+30\sqrt{2} +18\\$

$=43+30\sqrt{2}$

≈85.43

Hope this helps

3 0

1 year ago

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