Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter. Both dollhouses have a rectangular prism base with a length of 6 inches, width of 6 inches, and height of 5 inches. Dollhouse 1 has a triangular prism top. The triangular base has a base of 6 inches and height of 4 inches. The prism has a height of 6 inches. Dollhouse 2 has a square pyramid top with a base of 6 inches by 6 inches and height of 4 inches. Which statements are true about the dollhouses? Select three options. The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4). The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4). The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4). The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4). The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

(4). The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

As the correct equation should add up to 192 dolls house 1 and 168 for dolls house 2; 192 -168 = 24 cubed inches.

Dolls house 1 =  6(6)(5) + one thirds of 6(6) =180+ 12 =192 cubed inches.not 334 as shown in equation 1

Dolls house 2 = should be V= 6(6)5 - one third of 6(6) = 180-12 =168 cubed inches not 188 as shown in equation 2

Where all the other listed answers in question are incorrect as they add up to 334 or 188.

Step-by-step explanation:

dh1+2 rectangle = 6 x 5 x 4 = 120

Volume of triangle

V = 0.5 X b X a X h. = 0.5 x 6 x 6 x 4 = 72sq^3 + 120-sq^3 = 192sq^3

Volume of the Pyramid/rectangle dh = lwh/3

= 6x6x4=144/3=48sq^3 +  120sq^3= V = 168sq^3

Both A + B = V= 192sq^3, B=168sq^3

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume

ok

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,