Respuesta :
Answer:
Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A. 125 B. 156 C. 192 D. 208 E.317
The volume of the toy is 125 cubic cm ,option A is the closest answer.
Step-by-step explanation:
Given:
A rectangular container .
Length of the container =8 cm
Width of the container = 6 cm
Height of the container when water is filled = [tex](h_1)[/tex] = 4 cm
Height of the container when the toy is submerged = [tex](h_2)[/tex] =6.6 cm
Volume of the toy = Volume of the container with the toy - Volume of the container (with water)
Volume of the toy = [tex](l\times b\times h_2) - (l\times b\times h_1)[/tex]
= [tex](l\times b\times)(h_2-h1)[/tex]
= [tex](6\times 8)(6.6-4)[/tex]
= [tex]48\times 2.6[/tex]
= [tex]124.8[/tex] cubic centimeters.
So,the closest value to the volume of the toy is 125 cubic centimeters.
