Answer:
15,872 mm³
Step-by-step explanation:
given:
A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.
Find:
the exact volume of the solid
solution:
volume of square base pyramid = (base area)² * h/3
where total h = 12 cm
height of top pyramid (ht)= 6 cm
height of bottom pyramid (hb) = 6 cm
bottom volume = total volume - the volume on top
so,
total volume = 1/3 (base area)² h
= 1/3 (8*8)² * 12
= 16,384 mm³
volume on top = 1/3 (top base area)² h
= 1/3 (4*4)² * 6
= 512 mm³
finally: get the bottom volume:
bottom volume = total volume - the volume on top
bot. vol = 16,384 mm³ - 512 mm³
= 15,872 mm³
therefore,
the volume of the cut pyramid base = 15,872 mm³
Yes he has enough index cards for all students
Answer:
The first 4 are correct and the last one is incorrect
Step-by-step explanation:
1. The diameter of the circle is 30.8 m ( Correct )
Radius = 15.4 so diameter is 2 times the radius which is 30.8 m
2. The circumference in terms of π is 30.8 π ( Correct )
Circumference = π × Diameter
Circumference = π × 30.8
Circumference = 30.8 π
3 . The circumference of the circle can be found using 2 × π × 15 . 4 ( Correct )
Circumference = π × Diameter
Circumference = π × 30.8
Circumference = 30.8 π
4 . The approximate circumference of the circle rounded to the nearest tenth is 96.7 m ( Correct )
Circumference = 30.8 π = 96.7610537306
5 . A little more than 6 diameters could be wrapped around the circle
( False )
Circumference = 96.7610537306
Diameter = 30 . 8
96.7610537306 ÷ 30 . 8 = 3.14
5 : 7 = 5x : 7x
Sum of a pair <span>of consecutive angles of a parallelogram = 180⁰.
5x+7x=180
12x = 180
x= 15
5x=15*5 = 75⁰
7x=15*7 = 105⁰
Two angles are 75⁰ each,
and 2 angles 105⁰ each.
Check:
Sum of angles in the </span><span>parallelogram is 360⁰.
</span><span>75*2 + 105*2 = 360
360 = 360 True
</span>
The value of X that makes the equation X+5 = 3X -27 is X= 16.
<h3>
What is equation?</h3>
An equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have X+5=3X-27
⇒ 5+27= 3X - X
⇒ 32 = 2X
⇒ X = 32/2
⇒ X = 16.
So, the value of X that makes the equation X+5 = 3X-27 was found to be 16.
To know more about equation, visit
brainly.com/question/2972832
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<u>NOTE</u>: The question here in the portal is not complete. Here is the complete question.
Question: Enter the value of X that makes the equation X+5 = 3X-27.
