MATH SOLVE

7 months ago

Q:
# A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inches. Which expression shows the area of the base of each pyramid?A. 1/3x^2 in.2B. 1/4x^2 in.2C. x2 in.2D. 1/2x^2 in.2Also...A solid right pyramid has a square base with an edge length of x cm and a heigt of y cm. Which expression represents the volume of the pyramid?A. 1/3x2y cm3B. 1/2xy2 cm3C. 1/3xy cm3D. 1/2x2y cm3This is all the info I am given HELP

Accepted Solution

A:

Answer:Option B ⇒ Area of base of each pyramid : [tex](\frac{x}{4})^2 in^2[/tex] Option A ⇒ Volume of pyramid :[tex]\frac{1}{3} x^{2} \cdot y [/tex] cm3Step-by-step explanation:One side of tile consists of 4 pyramids and since length of whole tile is x,So, the base length of each pyramid = [tex]\frac{x}{4}[/tex]⇒ Area of base of each pyramid = side²⇒ Area = [tex](\frac{x}{4})^2 in^2[/tex]Volume of square based pyramid :[tex]=(Area of base )\cdot \frac{h}{3}\\=\frac{x^2}{3} cm^3[/tex]For 1. The correct Option is BFor 2. The correct option is A