Answer:
1090 in²
Step-by-step explanation:
The surface area of the two cube = 7x7x6 + 13x13x6 = 1308 in²
But noted that there are overlapping of the two cubes, thus we need to minus 7x7 in² from the answer. Also, we need to minus 13x13 from the answer as the bottom face of the larger prism do not require staining.
∴The required surface area is 1090 in²
The volume of the small cube and large cube will be 2540 in³.
Suppose that: The side length of the considered cube is L units. Then, we get:
Volume of that cube = L³ cubic units.
The edge length of the small cube is 7 in.
The edge length of the large cube is 13 in.
Then the volume of the small cube will be
Volume = 7³
Volume = 343 in.³
Then the volume of the large cube will be
Volume = 13³
Volume = 2197 in.³
Then the volume of the small cube and large cube will be
Volume = 2197 + 343
Volume = 2540 in.³
More about the volume of the cube link is given below.
https://brainly.com/question/26136041
#SPJ2