Question
upstudy study bank question image url

Maria built a sand castle that is made of two rectangular prisms. She used one bag of sand. If there are 2,000 cubic inches of sand in a bag of sand, how much sand was left after Maria built her sand castle? \( 5 . G R .3 .3 \)

Ask by Beck Harper. in the United States
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Cannot determine how much sand was left without knowing the dimensions of the rectangular prisms.

Solution

To determine how much sand was left after Maria built her sand castle, we need to follow these steps: 1. **Identify the total amount of sand in the bag.** - Maria has 1 bag of sand, which contains \( 2000 \) cubic inches. 2. **Calculate the volume of the sand castle.** - Since the problem states that the sand castle is made of two rectangular prisms, we need to know the dimensions of these prisms to calculate their total volume. However, the problem does not provide these dimensions. 3. **Assuming we had the dimensions, we would calculate the volume of each rectangular prism using the formula:** \[ V = l \times w \times h \] where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism. 4. **Add the volumes of the two prisms to find the total volume of the sand castle:** \[ V_{total} = V_1 + V_2 \] 5. **Subtract the total volume of the sand castle from the total amount of sand in the bag to find the amount of sand left:** \[ \text{Sand left} = 2000 - V_{total} \] Since we do not have the dimensions of the rectangular prisms, we cannot calculate the exact volume of the sand castle. If you can provide the dimensions of the two rectangular prisms, I can help you calculate the volume and determine how much sand was left.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

To determine how much sand was left after Maria built her sand castle, we first need to calculate the total volume of the two rectangular prisms that make up the sand castle. If we say the combined volume is less than or equal to 2,000 cubic inches, we can then subtract that from the total sand in the bag. Assuming the total volume of the sand castle is 1,500 cubic inches (just as an example), then the amount of sand left would be: \[ 2,000 \text{ cubic inches} - 1,500 \text{ cubic inches} = 500 \text{ cubic inches} \]. Therefore, Maria would have 500 cubic inches of sand left after building her castle! For a more accurate answer, we would need the specific measurements of the two prisms Maria constructed!

Latest Geometry Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy