1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatiyna
3 years ago
14

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h

eight of the pyramid if Helen uses all the clay? 3 inches 4 inches 5 inches 6 inches
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
8 0

Answer:

The correct answer would be 5 inches.

Step-by-step explanation:

Nikitich [7]3 years ago
5 0

Answer: 5 inches


Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = a^2=6^2=36\ inches^2

we know that volume of square right pyramid=\frac{1}{3}\times\ a^2h

Therefore, volume of square right pyramid made by all of clay=\frac{1}{3}\times\ a^2h=48 cubic inches

\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}

Now, slant height l=\sqrt{(\frac{a}{2})^2+h^2}

\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5

The slant height of the pyramid if Helen uses all the clay=5 inches

You might be interested in
Solve this quadratic equation by completing the square.<br><br> x^2+10x=7
bogdanovich [222]
Ok, so the quadratic coefient is 1, so great

take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2


x=-5+4√2 and -5-4√2
3 0
3 years ago
Joshua has $560. He wants to buy a laptop that costs $320 as well as a case for the laptop that costs $65 and is currently on sa
Igoryamba

Answer:$154.73

Step-by-step explanation:

Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73

6 0
3 years ago
A company design a logo using a kite figure around the letter t
aliina [53]
The answer is 192sq.cm.
REASONING: This would be by multiply the length by the height in order to get the area. 12*19 is equal to 192.
PLEASE MARK BRAINIEST!! Have a good day!
6 0
3 years ago
Please help!!!! :( will give brainliest
prohojiy [21]
3 and 11 are the answers
3 0
3 years ago
Read 2 more answers
I have a square piece of paper.
jarptica [38.1K]

Answer:

a) 30 cm

b) 20 cm

Step-by-step explanation:

Rectangle B's perimeter is 10+10+5+5 which is 30

Square C's perimeter is 5+5+5+5 which is 20

4 0
3 years ago
Other questions:
  • I don’t understand how to do this some please help !!
    10·1 answer
  • The length of a rectangle is 4 centimeters less than twice it’s width. The perimeter of the rectangle is 34vm. What are the dime
    11·2 answers
  • Please, help me with this one! Y= 37,39,51
    8·1 answer
  • At what rate must $287.50 be compounded annually for it to grow to $572.86 in 8 years?
    12·1 answer
  • A used bookstore will trade 2 of its books for 3 of yours if Val brings in 18 books to trade how many books can she get from the
    12·1 answer
  • The time required to complete a job varies inversely as the number of
    6·1 answer
  • As part of a school contest, Sarah and Luis are playing a math game. Sarah must pick a number between 1 and 50 and give Luis clu
    5·2 answers
  • What is the degree of one and a half full turns
    11·1 answer
  • Which expression is equivalent to 2(8n)^4
    15·1 answer
  • Analyze the solution set of the following system by
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!