Math Problem Statement
Solution
I see you've uploaded a photo containing a set of geometric questions. Here is a transcription of the questions in the image:
- Jika kubus ABCD.EFGH memiliki rusuk 12 cm. Tentukanlah jarak titik A terhadap GH.
- Jika kubus ABCD.EFGH memiliki rusuk 8 cm. Kemudian M adalah titik tengah EH. Tentukanlah jarak M terhadap garis AG.
- Kubus KLMN. OPQR memiliki volume 64 cm³. Tentukanlah jarak K terhadap bidang MQR.
- Jika limas T.ABCD memiliki panjang AB = cm dan AT = 10 cm. Kemudian P adalah titik tengah CT. Tentukanlah jarak Titik P terhadap diagonal BD.
- Pada limas beraturan T.ABCD, panjang rusuk tegaknya 25 cm dan panjang rusuk alasnya 7 cm. Tentukanlah Jarak titik T ke bidang ABCD.
- Diketahui kubus ABCD.EFGH dengan panjang rusuk 4 cm. Titik P adalah titik potong AH dan ED dan titik Q adalah titik potong FH dan EG. Tentukanlah jarak B ke Garis PQ.
- Diketahui sebuah balok ABCD.EFGH dengan ukuran 12 cm x 6 cm x 8 cm. Titik P terletak di tengah BC dan titik Q terletak di tengah GH. Tentukanlah jarak titik P ke titik Q.
These questions focus on geometry involving cubes, pyramids (limas), and rectangular prisms (balok). Do you have a specific question you want to solve first, or would you like help with all of them?
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Math Problem Analysis
Mathematical Concepts
Geometry
Cubes
Pyramids
Rectangular Prisms
Distance Calculation
Volume Calculation
Formulas
Distance formula in 3D: d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
Volume of a cube: V = s^3
Distance from a point to a plane
Theorems
Pythagorean Theorem
Volume and Surface Area Theorem
Projection Theorem
Suitable Grade Level
Grades 10-12
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